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720505104 = 2431110331321
BaseRepresentation
bin101010111100100…
…000100100010000
31212012202110012020
4222330200210100
52433422130404
6155254531440
723566122654
oct5274404420
91765673166
10720505104
1133a785170
12181366b80
13b636b6a7
146b994a64
15433c2ed9
hex2af20910

720505104 has 80 divisors (see below), whose sum is σ = 2034018624. Its totient is φ = 217958400.

The previous prime is 720505103. The next prime is 720505111. The reversal of 720505104 is 401505027.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (720505103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 544764 + ... + 546084.

Almost surely, 2720505104 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 720505104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017009312).

720505104 is an abundant number, since it is smaller than the sum of its proper divisors (1313513520).

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

720505104 is a wasteful number, since it uses less digits than its factorization.

720505104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 720505104 is about 26842.2261371891. The cubic root of 720505104 is about 896.4904906397.

The spelling of 720505104 in words is "seven hundred twenty million, five hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1033 1321 2066 2642 3099 3963 4132 5284 6198 7926 8264 10568 11363 12396 14531 15852 16528 21136 22726 24792 29062 31704 34089 43593 45452 49584 58124 63408 68178 87186 90904 116248 136356 174372 181808 232496 272712 348744 545424 697488 1364593 2729186 4093779 5458372 8187558 10916744 15010523 16375116 21833488 30021046 32750232 45031569 60042092 65500464 90063138 120084184 180126276 240168368 360252552 720505104