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68035296 = 2537137739
BaseRepresentation
bin1000000111000…
…10001011100000
311202000112212210
410003202023200
5114404112141
610430122120
71454201430
oct403421340
9152015783
1068035296
1135449a1a
121a950340
1311131494
1490702c0
155e8d916
hex40e22e0

68035296 has 96 divisors (see below), whose sum is σ = 205873920. Its totient is φ = 19270656.

The previous prime is 68035291. The next prime is 68035327. The reversal of 68035296 is 69253086.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68035291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91695 + ... + 92433.

It is an arithmetic number, because the mean of its divisors is an integer number (2144520).

Almost surely, 268035296 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 68035296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102936960).

68035296 is an abundant number, since it is smaller than the sum of its proper divisors (137838624).

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

68035296 is a wasteful number, since it uses less digits than its factorization.

68035296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 68035296 is about 8248.3511079488. The cubic root of 68035296 is about 408.2361186130.

The spelling of 68035296 in words is "sixty-eight million, thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 137 168 224 274 336 411 548 672 739 822 959 1096 1478 1644 1918 2192 2217 2877 2956 3288 3836 4384 4434 5173 5754 5912 6576 7672 8868 10346 11508 11824 13152 15344 15519 17736 20692 23016 23648 30688 31038 35472 41384 46032 62076 70944 82768 92064 101243 124152 165536 202486 248304 303729 404972 496608 607458 708701 809944 1214916 1417402 1619888 2126103 2429832 2834804 3239776 4252206 4859664 5669608 8504412 9719328 11339216 17008824 22678432 34017648 68035296