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76804520 = 235131271163
BaseRepresentation
bin1001001001111…
…11000110101000
312100112001222212
410210333012220
5124130221040
611342104252
71621553612
oct444770650
9170461885
1076804520
113a399411
122187b088
1312bb1a80
14a2b3db2
156b21d65
hex493f1a8

76804520 has 64 divisors (see below), whose sum is σ = 187729920. Its totient is φ = 28111104.

The previous prime is 76804477. The next prime is 76804547. The reversal of 76804520 is 2540867.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65459 + ... + 66621.

It is an arithmetic number, because the mean of its divisors is an integer number (2933280).

Almost surely, 276804520 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 76804520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93864960).

76804520 is an abundant number, since it is smaller than the sum of its proper divisors (110925400).

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

76804520 is a wasteful number, since it uses less digits than its factorization.

76804520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 76804520 is about 8763.8188023258. The cubic root of 76804520 is about 425.0717664274.

The spelling of 76804520 in words is "seventy-six million, eight hundred four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 127 130 254 260 508 520 635 1016 1163 1270 1651 2326 2540 3302 4652 5080 5815 6604 8255 9304 11630 13208 15119 16510 23260 30238 33020 46520 60476 66040 75595 120952 147701 151190 295402 302380 590804 604760 738505 1181608 1477010 1920113 2954020 3840226 5908040 7680452 9600565 15360904 19201130 38402260 76804520