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68075136 = 273259093
BaseRepresentation
bin1000000111010…
…11111010000000
311202002120112100
410003223322000
5114411401021
610431030400
71454425533
oct403537200
9152076470
1068075136
1135476948
121a96b400
131114665c
149080a1a
155e9a626
hex40ebe80

68075136 has 48 divisors (see below), whose sum is σ = 195896610. Its totient is φ = 22691328.

The previous prime is 68075131. The next prime is 68075143. The reversal of 68075136 is 63157086.

It can be written as a sum of positive squares in only one way, i.e., 40449600 + 27625536 = 6360^2 + 5256^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 68075136.

It is not an unprimeable number, because it can be changed into a prime (68075131) 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, 28395 + ... + 30698.

Almost surely, 268075136 is an apocalyptic number.

It is an amenable number.

68075136 is an abundant number, since it is smaller than the sum of its proper divisors (127821474).

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

68075136 is a wasteful number, since it uses less digits than its factorization.

68075136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59113 (or 59098 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 68075136 is about 8250.7657826410. The cubic root of 68075136 is about 408.3157878157.

The spelling of 68075136 in words is "sixty-eight million, seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 59093 118186 177279 236372 354558 472744 531837 709116 945488 1063674 1418232 1890976 2127348 2836464 3781952 4254696 5672928 7563904 8509392 11345856 17018784 22691712 34037568 68075136