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106236756 = 22322951021
BaseRepresentation
bin1100101010100…
…00101101010100
321101220101102200
412111100231110
5204144034011
614313004500
72426666103
oct625205524
9241811380
10106236756
1154a7127a
122b6b3730
13190184b2
141017603a
1594d7856
hex6550b54

106236756 has 18 divisors (see below), whose sum is σ = 268543002. Its totient is φ = 35412240.

The previous prime is 106236737. The next prime is 106236761. The reversal of 106236756 is 657632601.

It can be written as a sum of positive squares in only one way, i.e., 105760656 + 476100 = 10284^2 + 690^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1062367562 = 22572496650807072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2951021 = 106236756 / (1 + 0 + 6 + 2 + 3 + 6 + 7 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 106236756.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1475475 + ... + 1475546.

Almost surely, 2106236756 is an apocalyptic number.

It is an amenable number.

106236756 is an abundant number, since it is smaller than the sum of its proper divisors (162306246).

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

106236756 is a wasteful number, since it uses less digits than its factorization.

106236756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951031 (or 2951026 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 106236756 is about 10307.1216156597. The cubic root of 106236756 is about 473.6144383705.

The spelling of 106236756 in words is "one hundred six million, two hundred thirty-six thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 2951021 5902042 8853063 11804084 17706126 26559189 35412252 53118378 106236756