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740639120 = 245132291889
BaseRepresentation
bin101100001001010…
…100000110010000
31220121122100212112
4230021110012100
53004100422440
6201254244452
724232220504
oct5411240620
91817570775
10740639120
11350087151
12188056728
13ba59ab00
1470516304
154504d965
hex2c254190

740639120 has 120 divisors (see below), whose sum is σ = 1929954600. Its totient is φ = 263897088.

The previous prime is 740639099. The next prime is 740639167. The reversal of 740639120 is 21936047.

It can be written as a sum of positive squares in 12 ways, for example, as 418939024 + 321700096 = 20468^2 + 17936^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391136 + ... + 393024.

It is an arithmetic number, because the mean of its divisors is an integer number (16082955).

Almost surely, 2740639120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 740639120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964977300).

740639120 is an abundant number, since it is smaller than the sum of its proper divisors (1189315480).

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

740639120 is a wasteful number, since it uses less digits than its factorization.

740639120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 740639120 is about 27214.6857413419. The cubic root of 740639120 is about 904.7644941367.

The spelling of 740639120 in words is "seven hundred forty million, six hundred thirty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 52 58 65 80 104 116 130 145 169 208 232 260 290 338 377 464 520 580 676 754 845 1040 1160 1352 1508 1690 1885 1889 2320 2704 3016 3380 3770 3778 4901 6032 6760 7540 7556 9445 9802 13520 15080 15112 18890 19604 24505 24557 30160 30224 37780 39208 49010 49114 54781 75560 78416 98020 98228 109562 122785 151120 196040 196456 219124 245570 273905 319241 392080 392912 438248 491140 547810 638482 712153 876496 982280 1095620 1276964 1424306 1596205 1964560 2191240 2553928 2848612 3192410 3560765 4382480 5107856 5697224 6384820 7121530 9257989 11394448 12769640 14243060 18515978 25539280 28486120 37031956 46289945 56972240 74063912 92579890 148127824 185159780 370319560 740639120