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106158720 = 273555291
BaseRepresentation
bin1100101001111…
…01101010000000
321101202102101110
412110331222000
5204134034340
614311203320
72426222433
oct624755200
9241672343
10106158720
1154a18688
122b676540
1318cbbb15
141015581a
1594be680
hex653da80

106158720 has 64 divisors (see below), whose sum is σ = 338387040. Its totient is φ = 28308480.

The previous prime is 106158683. The next prime is 106158737. The reversal of 106158720 is 27851601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1061587202 = 22539347664076800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25726 + ... + 29565.

Almost surely, 2106158720 is an apocalyptic number.

106158720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106158720 is an abundant number, since it is smaller than the sum of its proper divisors (232228320).

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

106158720 is an equidigital number, since it uses as much as digits as its factorization.

106158720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55313 (or 55301 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 106158720 is about 10303.3353822925. The cubic root of 106158720 is about 473.4984457806.

The spelling of 106158720 in words is "one hundred six million, one hundred fifty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 55291 110582 165873 221164 276455 331746 442328 552910 663492 829365 884656 1105820 1326984 1658730 1769312 2211640 2653968 3317460 3538624 4423280 5307936 6634920 7077248 8846560 10615872 13269840 17693120 21231744 26539680 35386240 53079360 106158720