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106953060 = 22351782551
BaseRepresentation
bin1100101111111…
…11100101100100
321110020210000110
412113333211210
5204334444220
614340213020
72436041334
oct627774544
9243223013
10106953060
1155410465
122b99a170
1319209546
14102c10c4
1595c9be0
hex65ff964

106953060 has 24 divisors (see below), whose sum is σ = 299468736. Its totient is φ = 28520800.

The previous prime is 106953043. The next prime is 106953061. The reversal of 106953060 is 60359601.

It is a happy number.

It is a super-2 number, since 2×1069530602 = 22877914086727200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (106953061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 891216 + ... + 891335.

It is an arithmetic number, because the mean of its divisors is an integer number (12477864).

Almost surely, 2106953060 is an apocalyptic number.

106953060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106953060 is an abundant number, since it is smaller than the sum of its proper divisors (192515676).

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

106953060 is a wasteful number, since it uses less digits than its factorization.

106953060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782563 (or 1782561 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 106953060 is about 10341.8112533540. The cubic root of 106953060 is about 474.6765073480.

The spelling of 106953060 in words is "one hundred six million, nine hundred fifty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1782551 3565102 5347653 7130204 8912755 10695306 17825510 21390612 26738265 35651020 53476530 106953060