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106714692 = 22337141157
BaseRepresentation
bin1100101110001…
…01011001000100
321102210200001000
412113011121010
5204304332232
614331133300
72434026360
oct627053104
9242720030
10106714692
1155268367
122b8a4230
1319154bb6
141025c2a0
15957e27c
hex65c5644

106714692 has 48 divisors (see below), whose sum is σ = 316193920. Its totient is φ = 30489696.

The previous prime is 106714669. The next prime is 106714709. The reversal of 106714692 is 296417601.

It is a super-2 number, since 2×1067146922 = 22776050977309728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69823 + ... + 71334.

Almost surely, 2106714692 is an apocalyptic number.

106714692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106714692 is an abundant number, since it is smaller than the sum of its proper divisors (209479228).

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

106714692 is a wasteful number, since it uses less digits than its factorization.

106714692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141177 (or 141169 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 106714692 is about 10330.2803446954. The cubic root of 106714692 is about 474.3236053305.

The spelling of 106714692 in words is "one hundred six million, seven hundred fourteen thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 141157 282314 423471 564628 846942 988099 1270413 1693884 1976198 2540826 2964297 3811239 3952396 5081652 5928594 7622478 8892891 11857188 15244956 17785782 26678673 35571564 53357346 106714692