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73120960 = 2651120773
BaseRepresentation
bin1000101101110…
…11110011000000
312002120221002201
410112323303000
5122204332320
611131122544
71545342433
oct426736300
9162527081
1073120960
1138302950
12205a3454
13121c2253
1499d581a
15664570a
hex45bbcc0

73120960 has 56 divisors (see below), whose sum is σ = 189957456. Its totient is φ = 26588160.

The previous prime is 73120951. The next prime is 73120967. The reversal of 73120960 is 6902137.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (73120967) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6867 + ... + 13906.

Almost surely, 273120960 is an apocalyptic number.

It is an amenable number.

73120960 is an abundant number, since it is smaller than the sum of its proper divisors (116836496).

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

73120960 is a wasteful number, since it uses less digits than its factorization.

73120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20801 (or 20791 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 73120960 is about 8551.0794640209. The cubic root of 73120960 is about 418.1646291841.

The spelling of 73120960 in words is "seventy-three million, one hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 20773 41546 83092 103865 166184 207730 228503 332368 415460 457006 664736 830920 914012 1142515 1329472 1661840 1828024 2285030 3323680 3656048 4570060 6647360 7312096 9140120 14624192 18280240 36560480 73120960