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106070256 = 2433245533
BaseRepresentation
bin1100101001010…
…00000011110000
321101120221001000
412110220003300
5204123222011
614305242000
72425403505
oct624500360
9241527030
10106070256
1154968176
122b633300
1318c8a786
14101314ac
1594a3356
hex65280f0

106070256 has 40 divisors (see below), whose sum is σ = 304462160. Its totient is φ = 35356608.

The previous prime is 106070249. The next prime is 106070257. The reversal of 106070256 is 652070601.

106070256 is a `hidden beast` number, since 1 + 0 + 607 + 0 + 2 + 56 = 666.

It is a super-2 number, since 2×1060702562 = 22501798415811072, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106070257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122335 + ... + 123198.

It is an arithmetic number, because the mean of its divisors is an integer number (7611554).

Almost surely, 2106070256 is an apocalyptic number.

106070256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106070256 is an abundant number, since it is smaller than the sum of its proper divisors (198391904).

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

106070256 is a wasteful number, since it uses less digits than its factorization.

106070256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245550 (or 245538 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 106070256 is about 10299.0415088007. The cubic root of 106070256 is about 473.3668842624.

The spelling of 106070256 in words is "one hundred six million, seventy thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 245533 491066 736599 982132 1473198 1964264 2209797 2946396 3928528 4419594 5892792 6629391 8839188 11785584 13258782 17678376 26517564 35356752 53035128 106070256