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106416702 = 23271749681
BaseRepresentation
bin1100101011111…
…00101000111110
321102020112021100
412111330220332
5204220313302
614320513530
72431345530
oct625745076
9242215240
10106416702
1155084497
122b77b8a6
131907c382
14101c1850
159520d1c
hex657ca3e

106416702 has 48 divisors (see below), whose sum is σ = 279014112. Its totient is φ = 28615680.

The previous prime is 106416697. The next prime is 106416763. The reversal of 106416702 is 207614601.

106416702 is a `hidden beast` number, since 10 + 641 + 6 + 7 + 0 + 2 = 666.

It is a super-2 number, since 2×1064167022 = 22649028929113608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22699 + ... + 26982.

It is an arithmetic number, because the mean of its divisors is an integer number (5812794).

Almost surely, 2106416702 is an apocalyptic number.

106416702 is an abundant number, since it is smaller than the sum of its proper divisors (172597410).

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

106416702 is a wasteful number, since it uses less digits than its factorization.

106416702 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49713 (or 49710 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 106416702 is about 10315.8471295381. The cubic root of 106416702 is about 473.8816934886.

It can be divided in two parts, 1064 and 16702, that added together give a triangular number (17766 = T188).

The spelling of 106416702 in words is "one hundred six million, four hundred sixteen thousand, seven hundred two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 2142 49681 99362 149043 298086 347767 447129 695534 844577 894258 1043301 1689154 2086602 2533731 3129903 5067462 5912039 6259806 7601193 11824078 15202386 17736117 35472234 53208351 106416702