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73320960 = 29359547
BaseRepresentation
bin1000101111011…
…00101000000000
312002222002110010
410113230220000
5122232232320
611135304520
71550134506
oct427545000
9162862403
1073320960
113842a139
122067b140
13122622ab
149a48676
156684ae0
hex45eca00

73320960 has 80 divisors (see below), whose sum is σ = 234422496. Its totient is φ = 19550208.

The previous prime is 73320931. The next prime is 73320967. The reversal of 73320960 is 6902337.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (73320967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2907 + ... + 12453.

Almost surely, 273320960 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 73320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117211248).

73320960 is an abundant number, since it is smaller than the sum of its proper divisors (161101536).

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

73320960 is an equidigital number, since it uses as much as digits as its factorization.

73320960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9573 (or 9557 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 73320960 is about 8562.7659082799. The cubic root of 73320960 is about 418.5455358841.

The spelling of 73320960 in words is "seventy-three million, three hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 9547 19094 28641 38188 47735 57282 76376 95470 114564 143205 152752 190940 229128 286410 305504 381880 458256 572820 611008 763760 916512 1145640 1222016 1527520 1833024 2291280 2444032 3055040 3666048 4582560 4888064 6110080 7332096 9165120 12220160 14664192 18330240 24440320 36660480 73320960