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10678164 = 2237235527
BaseRepresentation
bin101000101110…
…111110010100
3202002111200120
4220232332110
510213200124
61020511540
7156522450
oct50567624
922074616
1010678164
116033732
1236ab5b0
13229b453
1415bd660
15e0dd79
hexa2ef94

10678164 has 48 divisors (see below), whose sum is σ = 29718528. Its totient is φ = 2917728.

The previous prime is 10678153. The next prime is 10678181. The reversal of 10678164 is 46187601.

It is a happy number.

It is a super-2 number, since 2×106781642 = 228046372821792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 832 + ... + 4695.

It is an arithmetic number, because the mean of its divisors is an integer number (619136).

Almost surely, 210678164 is an apocalyptic number.

10678164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10678164 is an abundant number, since it is smaller than the sum of its proper divisors (19040364).

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

10678164 is a wasteful number, since it uses less digits than its factorization.

10678164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5564 (or 5562 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 10678164 is about 3267.7460121619. The cubic root of 10678164 is about 220.2075451898.

The spelling of 10678164 in words is "ten million, six hundred seventy-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 5527 11054 16581 22108 33162 38689 66324 77378 116067 127121 154756 232134 254242 381363 464268 508484 762726 889847 1525452 1779694 2669541 3559388 5339082 10678164