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106424460 = 22325631937
BaseRepresentation
bin1100101011111…
…10100010001100
321102020220220200
412111332202030
5204221040320
614321013500
72431410252
oct625764214
9242226820
10106424460
115508a2aa
122b784290
1319082a6c
14101c45d2
159523290
hex657e88c

106424460 has 72 divisors (see below), whose sum is σ = 323677536. Its totient is φ = 28304640.

The previous prime is 106424449. The next prime is 106424467. The reversal of 106424460 is 64424601.

106424460 is a `hidden beast` number, since 10 + 642 + 4 + 4 + 6 + 0 = 666.

It is a super-2 number, since 2×1064244602 = 22652331372583200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106424467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113112 + ... + 114048.

Almost surely, 2106424460 is an apocalyptic number.

106424460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106424460 is an abundant number, since it is smaller than the sum of its proper divisors (217253076).

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

106424460 is a wasteful number, since it uses less digits than its factorization.

106424460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 106424460 is about 10316.2231460937. The cubic root of 106424460 is about 473.8932088641.

The spelling of 106424460 in words is "one hundred six million, four hundred twenty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 631 937 1262 1874 1893 2524 2811 3155 3748 3786 4685 5622 5679 6310 7572 8433 9370 9465 11244 11358 12620 14055 16866 18740 18930 22716 28110 28395 33732 37860 42165 56220 56790 84330 113580 168660 591247 1182494 1773741 2364988 2956235 3547482 5321223 5912470 7094964 8868705 10642446 11824940 17737410 21284892 26606115 35474820 53212230 106424460