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106371652 = 221721929167
BaseRepresentation
bin1100101011100…
…01101001000100
321102011020110211
412111301221010
5204212343102
614315525204
72431100302
oct625615104
9242136424
10106371652
1155053662
122b759804
1319064a0a
14101ad272
1595127d7
hex6571a44

106371652 has 72 divisors (see below), whose sum is σ = 216619200. Its totient is φ = 45513216.

The previous prime is 106371649. The next prime is 106371653. The reversal of 106371652 is 256173601.

It is a super-2 number, since 2×1063716522 = 22629856698418208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106371653) 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, 636873 + ... + 637039.

It is an arithmetic number, because the mean of its divisors is an integer number (3008600).

Almost surely, 2106371652 is an apocalyptic number.

It is an amenable number.

106371652 is an abundant number, since it is smaller than the sum of its proper divisors (110247548).

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

106371652 is a wasteful number, since it uses less digits than its factorization.

106371652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 106371652 is about 10313.6633646828. The cubic root of 106371652 is about 473.8148136877.

The spelling of 106371652 in words is "one hundred six million, three hundred seventy-one thousand, six hundred fifty-two".

Divisors: 1 2 4 17 19 29 34 38 58 68 76 116 167 289 323 334 493 551 578 646 668 986 1102 1156 1292 1972 2204 2839 3173 4843 5491 5678 6346 8381 9367 9686 10982 11356 12692 16762 18734 19372 21964 33524 37468 48263 53941 82331 92017 96526 107882 159239 164662 184034 193052 215764 318478 329324 368068 636956 916997 1399627 1564289 1833994 2799254 3128578 3667988 5598508 6257156 26592913 53185826 106371652