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101394756 = 22326614261
BaseRepresentation
bin1100000101100…
…10100101000100
321001210101110100
412002302211010
5201424113011
614021124100
72340561351
oct602624504
9231711410
10101394756
1152264421
1229b59630
13180115c8
14d675628
158d7cd56
hex60b2944

101394756 has 36 divisors (see below), whose sum is σ = 256751404. Its totient is φ = 33739200.

The previous prime is 101394751. The next prime is 101394767. The reversal of 101394756 is 657493101.

It can be written as a sum of positive squares in 2 ways, for example, as 90897156 + 10497600 = 9534^2 + 3240^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101394756.

It is not an unprimeable number, because it can be changed into a prime (101394751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21666 + ... + 25926.

Almost surely, 2101394756 is an apocalyptic number.

It is an amenable number.

101394756 is an abundant number, since it is smaller than the sum of its proper divisors (155356648).

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

101394756 is a wasteful number, since it uses less digits than its factorization.

101394756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4932 (or 4927 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 101394756 is about 10069.4963131231. The cubic root of 101394756 is about 466.3068889129.

The spelling of 101394756 in words is "one hundred one million, three hundred ninety-four thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 661 1322 1983 2644 3966 4261 5949 7932 8522 11898 12783 17044 23796 25566 38349 51132 76698 153396 2816521 5633042 8449563 11266084 16899126 25348689 33798252 50697378 101394756