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68966436 = 223711101739
BaseRepresentation
bin1000001110001…
…01100000100100
311210202212011110
410013011200210
5120123411221
610502105020
71465130220
oct407054044
9153685143
1068966436
1135a25560
121b11b170
1311399256
149233780
1560c4776
hex41c5824

68966436 has 96 divisors (see below), whose sum is σ = 202890240. Its totient is φ = 17712000.

The previous prime is 68966423. The next prime is 68966473. The reversal of 68966436 is 63466986.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92955 + ... + 93693.

It is an arithmetic number, because the mean of its divisors is an integer number (2113440).

Almost surely, 268966436 is an apocalyptic number.

68966436 is a gapful number since it is divisible by the number (66) 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 68966436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101445120).

68966436 is an abundant number, since it is smaller than the sum of its proper divisors (133923804).

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

68966436 is a wasteful number, since it uses less digits than its factorization.

68966436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 863 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 48.

The square root of 68966436 is about 8304.6033017839. The cubic root of 68966436 is about 410.0900773729.

The spelling of 68966436 in words is "sixty-eight million, nine hundred sixty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 101 132 154 202 231 303 308 404 462 606 707 739 924 1111 1212 1414 1478 2121 2217 2222 2828 2956 3333 4242 4434 4444 5173 6666 7777 8129 8484 8868 10346 13332 15519 15554 16258 20692 23331 24387 31038 31108 32516 46662 48774 56903 62076 74639 93324 97548 113806 149278 170709 223917 227612 298556 341418 447834 522473 682836 821029 895668 1044946 1567419 1642058 2089892 2463087 3134838 3284116 4926174 5747203 6269676 9852348 11494406 17241609 22988812 34483218 68966436