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68035392 = 2632294073
BaseRepresentation
bin1000000111000…
…10001101000000
311202000120000100
410003202031000
5114404113032
610430122400
71454201625
oct403421500
9152016010
1068035392
1135449aa7
121a950400
1311131539
14907034c
155e8d97c
hex40e2340

68035392 has 84 divisors (see below), whose sum is σ = 201785220. Its totient is φ = 21891072.

The previous prime is 68035391. The next prime is 68035393. The reversal of 68035392 is 29353086.

It is an interprime number because it is at equal distance from previous prime (68035391) and next prime (68035393).

It can be written as a sum of positive squares in 2 ways, for example, as 19927296 + 48108096 = 4464^2 + 6936^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68035391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14668 + ... + 18740.

It is an arithmetic number, because the mean of its divisors is an integer number (2402205).

Almost surely, 268035392 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 68035392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100892610).

68035392 is an abundant number, since it is smaller than the sum of its proper divisors (133749828).

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

68035392 is a wasteful number, since it uses less digits than its factorization.

68035392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120 (or 4107 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 68035392 is about 8248.3569272916. The cubic root of 68035392 is about 408.2363106244.

The spelling of 68035392 in words is "sixty-eight million, thirty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 1044 1392 1856 2088 2784 4073 4176 5568 8146 8352 12219 16292 16704 24438 32584 36657 48876 65168 73314 97752 118117 130336 146628 195504 236234 260672 293256 354351 391008 472468 586512 708702 782016 944936 1063053 1173024 1417404 1889872 2126106 2346048 2834808 3779744 4252212 5669616 7559488 8504424 11339232 17008848 22678464 34017696 68035392