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68143296 = 26313231187
BaseRepresentation
bin1000000111111…
…00100011000000
311202020001000210
410003330203000
5114421041141
610432314120
71455131334
oct403744300
9152201023
1068143296
1135513081
121a9a2940
131116b6a0
14909b7c4
155eb0916
hex40fc8c0

68143296 has 112 divisors (see below), whose sum is σ = 202777344. Its totient is φ = 20038656.

The previous prime is 68143277. The next prime is 68143321. The reversal of 68143296 is 69234186.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56815 + ... + 58001.

It is an arithmetic number, because the mean of its divisors is an integer number (1810512).

Almost surely, 268143296 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 68143296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101388672).

68143296 is an abundant number, since it is smaller than the sum of its proper divisors (134634048).

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

68143296 is a wasteful number, since it uses less digits than its factorization.

68143296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1228 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 68143296 is about 8254.8952749263. The cubic root of 68143296 is about 408.4520172939.

It can be divided in two parts, 681432 and 96, that added together give a triangular number (681528 = T1167).

The spelling of 68143296 in words is "sixty-eight million, one hundred forty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 138 156 184 192 208 276 299 312 368 416 552 598 624 736 832 897 1104 1187 1196 1248 1472 1794 2208 2374 2392 2496 3561 3588 4416 4748 4784 7122 7176 9496 9568 14244 14352 15431 18992 19136 27301 28488 28704 30862 37984 46293 54602 56976 57408 61724 75968 81903 92586 109204 113952 123448 163806 185172 218408 227904 246896 327612 354913 370344 436816 493792 655224 709826 740688 873632 987584 1064739 1310448 1419652 1481376 1747264 2129478 2620896 2839304 2962752 4258956 5241792 5678608 8517912 11357216 17035824 22714432 34071648 68143296