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68552960 = 285721093
BaseRepresentation
bin1000001011000…
…00100100000000
311202222211222112
410011200210000
5120022143320
610445154452
71461455600
oct405404400
9152884875
1068552960
1135772943
121ab5ba28
1311282ca8
149166c00
156041ec5
hex4160900

68552960 has 108 divisors (see below), whose sum is σ = 191189628. Its totient is φ = 23482368.

The previous prime is 68552941. The next prime is 68552977. The reversal of 68552960 is 6925586.

It can be written as a sum of positive squares in 2 ways, for example, as 51380224 + 17172736 = 7168^2 + 4144^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62174 + ... + 63266.

Almost surely, 268552960 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 68552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95594814).

68552960 is an abundant number, since it is smaller than the sum of its proper divisors (122636668).

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

68552960 is a wasteful number, since it uses less digits than its factorization.

68552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 41.

The square root of 68552960 is about 8279.6714910677. The cubic root of 68552960 is about 409.2688933869.

The spelling of 68552960 in words is "sixty-eight million, five hundred fifty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 560 640 784 896 980 1093 1120 1280 1568 1792 1960 2186 2240 3136 3920 4372 4480 5465 6272 7651 7840 8744 8960 10930 12544 15302 15680 17488 21860 30604 31360 34976 38255 43720 53557 61208 62720 69952 76510 87440 107114 122416 139904 153020 174880 214228 244832 267785 279808 306040 349760 428456 489664 535570 612080 699520 856912 979328 1071140 1224160 1399040 1713824 1958656 2142280 2448320 3427648 4284560 4896640 6855296 8569120 9793280 13710592 17138240 34276480 68552960