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106239960 = 23325295111
BaseRepresentation
bin1100101010100…
…01011111011000
321101220112211100
412111101133120
5204144134320
614313031400
72430011331
oct625213730
9241815740
10106239960
1154a73722
122b6b5560
1319019aa8
1410177288
1594d8790
hex65517d8

106239960 has 48 divisors (see below), whose sum is σ = 345281040. Its totient is φ = 28330560.

The previous prime is 106239907. The next prime is 106239961. The reversal of 106239960 is 69932601.

It is a super-2 number, since 2×1062399602 = 22573858201603200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106239961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147196 + ... + 147915.

It is an arithmetic number, because the mean of its divisors is an integer number (7193355).

Almost surely, 2106239960 is an apocalyptic number.

106239960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106239960 is an abundant number, since it is smaller than the sum of its proper divisors (239041080).

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

106239960 is a wasteful number, since it uses less digits than its factorization.

106239960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295128 (or 295121 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 106239960 is about 10307.2770410036. The cubic root of 106239960 is about 473.6191995770.

The spelling of 106239960 in words is "one hundred six million, two hundred thirty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 295111 590222 885333 1180444 1475555 1770666 2360888 2655999 2951110 3541332 4426665 5311998 5902220 7082664 8853330 10623996 11804440 13279995 17706660 21247992 26559990 35413320 53119980 106239960