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106426572 = 22377091787
BaseRepresentation
bin1100101011111…
…11000011001100
321102021000210220
412111333003030
5204221122242
614321031340
72431416360
oct625770314
9242230726
10106426572
115509094a
122b785550
1319083a05
14101c52a0
159523bec
hex657f0cc

106426572 has 48 divisors (see below), whose sum is σ = 284363520. Its totient is φ = 30347712.

The previous prime is 106426571. The next prime is 106426583. The reversal of 106426572 is 275624601.

It is a super-2 number, since 2×1064265722 = 22653230455342368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106426571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58663 + ... + 60449.

It is an arithmetic number, because the mean of its divisors is an integer number (5924240).

Almost surely, 2106426572 is an apocalyptic number.

106426572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106426572 is an abundant number, since it is smaller than the sum of its proper divisors (177936948).

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

106426572 is a wasteful number, since it uses less digits than its factorization.

106426572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 106426572 is about 10316.3255086295. The cubic root of 106426572 is about 473.8963436567.

The spelling of 106426572 in words is "one hundred six million, four hundred twenty-six thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 709 1418 1787 2127 2836 3574 4254 4963 5361 7148 8508 9926 10722 12509 14889 19852 21444 25018 29778 37527 50036 59556 75054 150108 1266983 2533966 3800949 5067932 7601898 8868881 15203796 17737762 26606643 35475524 53213286 106426572