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73996128 = 2532256931
BaseRepresentation
bin1000110100100…
…01011101100000
312011020101121100
410122101131200
5122420334003
611201554400
71555646103
oct432213540
9164211540
1073996128
1138850428
1220945a00
131243a6bb
149b8273a
156769ba3
hex4691760

73996128 has 36 divisors (see below), whose sum is σ = 210427308. Its totient is φ = 24665280.

The previous prime is 73996123. The next prime is 73996133. The reversal of 73996128 is 82169937.

It is an interprime number because it is at equal distance from previous prime (73996123) and next prime (73996133).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73996123) 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 5 ways as a sum of consecutive naturals, for example, 128178 + ... + 128753.

It is an arithmetic number, because the mean of its divisors is an integer number (5845203).

Almost surely, 273996128 is an apocalyptic number.

It is an amenable number.

73996128 is an abundant number, since it is smaller than the sum of its proper divisors (136431180).

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

73996128 is a wasteful number, since it uses less digits than its factorization.

73996128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256947 (or 256936 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 73996128 is about 8602.1002086700. The cubic root of 73996128 is about 419.8263227492.

The spelling of 73996128 in words is "seventy-three million, nine hundred ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 256931 513862 770793 1027724 1541586 2055448 2312379 3083172 4110896 4624758 6166344 8221792 9249516 12332688 18499032 24665376 36998064 73996128