Search a number
-
+
69480720 = 24335191693
BaseRepresentation
bin1000010010000…
…11000100010000
311211201222122000
410021003010100
5120241340340
610521114000
71502401461
oct411030420
9154658560
1069480720
1136246991
121b328900
131151936a
149328d68
156176d30
hex4243110

69480720 has 160 divisors (see below), whose sum is σ = 252067200. Its totient is φ = 17542656.

The previous prime is 69480713. The next prime is 69480731. The reversal of 69480720 is 2708496.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40194 + ... + 41886.

It is an arithmetic number, because the mean of its divisors is an integer number (1575420).

Almost surely, 269480720 is an apocalyptic number.

69480720 is a gapful number since it is divisible by the number (60) 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 69480720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126033600).

69480720 is an abundant number, since it is smaller than the sum of its proper divisors (182586480).

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

69480720 is a wasteful number, since it uses less digits than its factorization.

69480720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 69480720 is about 8335.5095825030. The cubic root of 69480720 is about 411.1069038338.

The spelling of 69480720 in words is "sixty-nine million, four hundred eighty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1693 1710 2052 2160 2280 2565 2736 3386 3420 4104 4560 5079 5130 6772 6840 8208 8465 10158 10260 13544 13680 15237 16930 20316 20520 25395 27088 30474 32167 33860 40632 41040 45711 50790 60948 64334 67720 76185 81264 91422 96501 101580 121896 128668 135440 152370 160835 182844 193002 203160 228555 243792 257336 289503 304740 321670 365688 386004 406320 457110 482505 514672 579006 609480 643340 731376 772008 868509 914220 965010 1158012 1218960 1286680 1447515 1544016 1737018 1828440 1930020 2316024 2573360 2895030 3474036 3656880 3860040 4342545 4632048 5790060 6948072 7720080 8685090 11580120 13896144 17370180 23160240 34740360 69480720