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720713840 = 245711791481
BaseRepresentation
bin101010111101010…
…011100001110000
31212020011001112012
4222331103201300
52434000320330
6155303222052
723600652350
oct5275234160
91766131465
10720713840
1133a907a80
12181447928
13b64126c2
146ba0ab60
1543414c95
hex2af53870

720713840 has 160 divisors (see below), whose sum is σ = 2117007360. Its totient is φ = 221644800.

The previous prime is 720713837. The next prime is 720713843. The reversal of 720713840 is 48317027.

It is a happy number.

720713840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (720713837) and next prime (720713843).

It is a junction number, because it is equal to n+sod(n) for n = 720713797 and 720713806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720713843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 485900 + ... + 487380.

It is an arithmetic number, because the mean of its divisors is an integer number (13231296).

Almost surely, 2720713840 is an apocalyptic number.

720713840 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 720713840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058503680).

720713840 is an abundant number, since it is smaller than the sum of its proper divisors (1396293520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

720713840 is a wasteful number, since it uses less digits than its factorization.

720713840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 720713840 is about 26846.1140577179. The cubic root of 720713840 is about 896.5770557312.

The spelling of 720713840 in words is "seven hundred twenty million, seven hundred thirteen thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 79 80 88 110 112 140 154 158 176 220 280 308 316 385 395 440 553 560 616 632 770 790 869 880 1106 1232 1264 1481 1540 1580 1738 2212 2765 2962 3080 3160 3476 4345 4424 5530 5924 6083 6160 6320 6952 7405 8690 8848 10367 11060 11848 12166 13904 14810 16291 17380 20734 22120 23696 24332 29620 30415 32582 34760 41468 44240 48664 51835 59240 60830 65164 69520 81455 82936 97328 103670 114037 116999 118480 121660 130328 162910 165872 207340 228074 233998 243320 260656 325820 414680 456148 467996 486640 570185 584995 651640 818993 829360 912296 935992 1140370 1169990 1286989 1303280 1637986 1824592 1871984 2280740 2339980 2573978 3275972 4094965 4561480 4679960 5147956 6434945 6551944 8189930 9008923 9122960 9359920 10295912 12869890 13103888 16379860 18017846 20591824 25739780 32759720 36035692 45044615 51479560 65519440 72071384 90089230 102959120 144142768 180178460 360356920 720713840