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106942248 = 2333770729
BaseRepresentation
bin1100101111111…
…00111100101000
321110020020012000
412113330330220
5204334122443
614340051000
72435664660
oct627747450
9243206160
10106942248
1155403326
122b993a60
131920464a
14102bb1a0
1595c68d3
hex65fcf28

106942248 has 64 divisors (see below), whose sum is σ = 339504000. Its totient is φ = 30554496.

The previous prime is 106942229. The next prime is 106942261. The reversal of 106942248 is 842249601.

It is a super-2 number, since 2×1069422482 = 22873288814587008, 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, 33853 + ... + 36876.

It is an arithmetic number, because the mean of its divisors is an integer number (5304750).

Almost surely, 2106942248 is an apocalyptic number.

106942248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106942248 is an abundant number, since it is smaller than the sum of its proper divisors (232561752).

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

106942248 is a wasteful number, since it uses less digits than its factorization.

106942248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70751 (or 70741 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 106942248 is about 10341.2885077248. The cubic root of 106942248 is about 474.6605116226.

The spelling of 106942248 in words is "one hundred six million, nine hundred forty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 70729 141458 212187 282916 424374 495103 565832 636561 848748 990206 1273122 1485309 1697496 1909683 1980412 2546244 2970618 3819366 3960824 4455927 5092488 5941236 7638732 8911854 11882472 13367781 15277464 17823708 26735562 35647416 53471124 106942248