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106214724 = 223271138317
BaseRepresentation
bin1100101010010…
…11010101000100
321101212021012200
412111023111010
5204142332344
614312314500
72426544630
oct625132504
9241767180
10106214724
1154a56770
122b6a2a30
131900b465
141016bdc0
1594d1069
hex654b544

106214724 has 72 divisors (see below), whose sum is σ = 334746048. Its totient is φ = 27587520.

The previous prime is 106214701. The next prime is 106214729. The reversal of 106214724 is 427412601.

106214724 is a `hidden beast` number, since 10 + 621 + 4 + 7 + 24 = 666.

It is a super-2 number, since 2×1062147242 = 22563135188792352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106214729) 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, 16387 + ... + 21930.

Almost surely, 2106214724 is an apocalyptic number.

106214724 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106214724 is an abundant number, since it is smaller than the sum of its proper divisors (228531324).

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

106214724 is a wasteful number, since it uses less digits than its factorization.

106214724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38345 (or 38340 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 106214724 is about 10306.0527846504. The cubic root of 106214724 is about 473.5816957959.

The spelling of 106214724 in words is "one hundred six million, two hundred fourteen thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 38317 76634 114951 153268 229902 268219 344853 421487 459804 536438 689706 804657 842974 1072876 1264461 1379412 1609314 1685948 2413971 2528922 2950409 3218628 3793383 4827942 5057844 5900818 7586766 8851227 9655884 11801636 15173532 17702454 26553681 35404908 53107362 106214724