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106400652 = 22329305749
BaseRepresentation
bin1100101011110…
…00101110001100
321102012201020220
412111320232030
5204214310102
614320311340
72431250661
oct625705614
9242181226
10106400652
1155073426
122b772550
1319074c87
14101b9a68
15951b1bc
hex6578b8c

106400652 has 24 divisors (see below), whose sum is σ = 256830000. Its totient is φ = 34243776.

The previous prime is 106400647. The next prime is 106400663. The reversal of 106400652 is 256004601.

It is a super-2 number, since 2×1064006522 = 22642197492050208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152527 + ... + 153222.

It is an arithmetic number, because the mean of its divisors is an integer number (10701250).

Almost surely, 2106400652 is an apocalyptic number.

106400652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106400652 is an abundant number, since it is smaller than the sum of its proper divisors (150429348).

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

106400652 is a wasteful number, since it uses less digits than its factorization.

106400652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305785 (or 305783 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 106400652 is about 10315.0691708781. The cubic root of 106400652 is about 473.8578683326.

The spelling of 106400652 in words is "one hundred six million, four hundred thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 305749 611498 917247 1222996 1834494 3668988 8866721 17733442 26600163 35466884 53200326 106400652