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268718406 = 231119421509
BaseRepresentation
bin10000000001000…
…101000101000110
3200201122022100120
4100001011011012
51022242442111
642355322410
76442032405
oct2001050506
9621568316
10268718406
11128759130
1275bb0406
1343897698
142798d63c
15188d0406
hex10045146

268718406 has 64 divisors (see below), whose sum is σ = 619833600. Its totient is φ = 76809600.

The previous prime is 268718399. The next prime is 268718413. The reversal of 268718406 is 604817862.

It is an interprime number because it is at equal distance from previous prime (268718399) and next prime (268718413).

It is a congruent number.

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, 527680 + ... + 528188.

It is an arithmetic number, because the mean of its divisors is an integer number (9684900).

Almost surely, 2268718406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268718406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309916800).

268718406 is an abundant number, since it is smaller than the sum of its proper divisors (351115194).

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

268718406 is a wasteful number, since it uses less digits than its factorization.

268718406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965.

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 268718406 is about 16392.6326744669. The cubic root of 268718406 is about 645.3061511581.

The spelling of 268718406 in words is "two hundred sixty-eight million, seven hundred eighteen thousand, four hundred six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 421 509 627 842 1018 1254 1263 1527 2526 3054 4631 5599 7999 9262 9671 11198 13893 15998 16797 19342 23997 27786 29013 33594 47994 58026 87989 106381 175978 212762 214289 263967 319143 428578 527934 638286 642867 1285734 2357179 4071491 4714358 7071537 8142982 12214473 14143074 24428946 44786401 89572802 134359203 268718406