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106256260 = 225113111553
BaseRepresentation
bin1100101010101…
…01011110000100
321101221101012001
412111111132010
5204200200020
614313235044
72430110005
oct625253604
9241841161
10106256260
1154a849a0
122b702a84
1319024336
141017d1ac
1594dd50a
hex6555784

106256260 has 48 divisors (see below), whose sum is σ = 244363392. Its totient is φ = 38489600.

The previous prime is 106256219. The next prime is 106256263. The reversal of 106256260 is 62652601.

It is a super-2 number, since 2×1062562602 = 22580785578375200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (106256263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67644 + ... + 69196.

It is an arithmetic number, because the mean of its divisors is an integer number (5090904).

Almost surely, 2106256260 is an apocalyptic number.

106256260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106256260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122181696).

106256260 is an abundant number, since it is smaller than the sum of its proper divisors (138107132).

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

106256260 is a wasteful number, since it uses less digits than its factorization.

106256260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 106256260 is about 10308.0677141742. The cubic root of 106256260 is about 473.6434202129.

The spelling of 106256260 in words is "one hundred six million, two hundred fifty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 311 622 1244 1553 1555 3106 3110 3421 6212 6220 6842 7765 13684 15530 17083 17105 31060 34166 34210 68332 68420 85415 170830 341660 482983 965966 1931932 2414915 4829830 5312813 9659660 10625626 21251252 26564065 53128130 106256260