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720505136 = 24132416797
BaseRepresentation
bin101010111100100…
…000100100110000
31212012202110020102
4222330200210300
52433422131021
6155254531532
723566123031
oct5274404460
91765673212
10720505136
1133a78519a
12181366ba8
13b636b700
146b994a88
15433c300b
hex2af20930

720505136 has 120 divisors (see below), whose sum is σ = 1587804624. Its totient is φ = 316293120.

The previous prime is 720505133. The next prime is 720505141. The reversal of 720505136 is 631505027.

It is a junction number, because it is equal to n+sod(n) for n = 720505099 and 720505108.

It is not an unprimeable number, because it can be changed into a prime (720505133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7427840 + ... + 7427936.

Almost surely, 2720505136 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 720505136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793902312).

720505136 is an abundant number, since it is smaller than the sum of its proper divisors (867299488).

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

720505136 is a wasteful number, since it uses less digits than its factorization.

720505136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 720505136 is about 26842.2267332649. The cubic root of 720505136 is about 896.4905039117.

The spelling of 720505136 in words is "seven hundred twenty million, five hundred five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 41 52 67 82 97 104 134 164 169 194 208 268 328 338 388 533 536 656 676 776 871 1066 1072 1261 1352 1552 1742 2132 2522 2704 2747 3484 3977 4264 5044 5494 6499 6929 6968 7954 8528 10088 10988 11323 12998 13858 13936 15908 16393 20176 21976 22646 25996 27716 31816 32786 35711 43952 45292 51701 51992 55432 63632 65572 71422 84487 90584 103402 103984 110864 131144 142844 168974 181168 206804 262288 266459 285688 337948 413608 464243 532918 571376 672113 675896 827216 928486 1065836 1098331 1344226 1351792 1856972 2131672 2196662 2688452 3463967 3713944 4263344 4393324 5376904 6927934 7427888 8786648 10753808 13855868 17573296 27711736 45031571 55423472 90063142 180126284 360252568 720505136