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68171904 = 273217592
BaseRepresentation
bin1000001000000…
…11100010000000
311202021111021100
410010003202000
5114423000104
610433054400
71455310623
oct404034200
9152244240
1068171904
1135532619
121a9b7400
131117b708
1490a7dba
155eb9139
hex4103880

68171904 has 144 divisors (see below), whose sum is σ = 211291470. Its totient is φ = 21024768.

The previous prime is 68171903. The next prime is 68171923. The reversal of 68171904 is 40917186.

It can be written as a sum of positive squares in only one way, i.e., 50126400 + 18045504 = 7080^2 + 4248^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (68171903) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1155427 + ... + 1155485.

Almost surely, 268171904 is an apocalyptic number.

68171904 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68171904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105645735).

68171904 is an abundant number, since it is smaller than the sum of its proper divisors (143119566).

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

68171904 is a wasteful number, since it uses less digits than its factorization.

68171904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 68171904 is about 8256.6278831009. The cubic root of 68171904 is about 408.5091682350.

The spelling of 68171904 in words is "sixty-eight million, one hundred seventy-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 59 64 68 72 96 102 118 128 136 144 153 177 192 204 236 272 288 306 354 384 408 472 531 544 576 612 708 816 944 1003 1062 1088 1152 1224 1416 1632 1888 2006 2124 2176 2448 2832 3009 3264 3481 3776 4012 4248 4896 5664 6018 6528 6962 7552 8024 8496 9027 9792 10443 11328 12036 13924 16048 16992 18054 19584 20886 22656 24072 27848 31329 32096 33984 36108 41772 48144 55696 59177 62658 64192 67968 72216 83544 96288 111392 118354 125316 128384 144432 167088 177531 192576 222784 236708 250632 288864 334176 355062 385152 445568 473416 501264 532593 577728 668352 710124 946832 1002528 1065186 1155456 1336704 1420248 1893664 2005056 2130372 2840496 3787328 4010112 4260744 5680992 7574656 8521488 11361984 17042976 22723968 34085952 68171904