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78406068 = 22313312523
BaseRepresentation
bin1001010110001…
…10000110110100
312110112102220110
410223012012310
5130032443233
611440303020
71641304056
oct453060664
9173472813
1078406068
1140292704
1222311a70
1313322a30
14a5ad8d6
156d3b663
hex4ac61b4

78406068 has 72 divisors (see below), whose sum is σ = 203970144. Its totient is φ = 23302080.

The previous prime is 78406051. The next prime is 78406079. The reversal of 78406068 is 86060487.

It is a super-2 number, since 2×784060682 = 12295022998441248, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149655 + ... + 150177.

Almost surely, 278406068 is an apocalyptic number.

78406068 is a gapful number since it is divisible by the number (78) 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 78406068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101985072).

78406068 is an abundant number, since it is smaller than the sum of its proper divisors (125564076).

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

78406068 is a wasteful number, since it uses less digits than its factorization.

78406068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 78406068 is about 8854.7200972137. The cubic root of 78406068 is about 428.0060339208.

The spelling of 78406068 in words is "seventy-eight million, four hundred six thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 523 806 961 1046 1209 1569 1612 1922 2092 2418 2883 3138 3844 4836 5766 6276 6799 11532 12493 13598 16213 20397 24986 27196 32426 37479 40794 48639 49972 64852 74958 81588 97278 149916 194556 210769 421538 502603 632307 843076 1005206 1264614 1507809 2010412 2529228 3015618 6031236 6533839 13067678 19601517 26135356 39203034 78406068