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101526404 = 2273625943
BaseRepresentation
bin1100000110100…
…10101110000100
321002001002001012
412003102232010
5201442321104
614024021352
72341650230
oct603225604
9232032035
10101526404
1152344321
122a001858
13180594c5
14d6ab5c0
158da6d6e
hex60d2b84

101526404 has 12 divisors (see below), whose sum is σ = 203052864. Its totient is φ = 43511304.

The previous prime is 101526389. The next prime is 101526407. The reversal of 101526404 is 404625101.

101526404 is an admirable number.

It is a super-2 number, since 2×1015264042 = 20615221418342432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101526404.

It is not an unprimeable number, because it can be changed into a prime (101526407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1812944 + ... + 1812999.

It is an arithmetic number, because the mean of its divisors is an integer number (16921072).

Almost surely, 2101526404 is an apocalyptic number.

101526404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101526404 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

101526404 is a wasteful number, since it uses less digits than its factorization.

101526404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3625954 (or 3625952 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 101526404 is about 10076.0311631118. The cubic root of 101526404 is about 466.5086147306.

The spelling of 101526404 in words is "one hundred one million, five hundred twenty-six thousand, four hundred four".

Divisors: 1 2 4 7 14 28 3625943 7251886 14503772 25381601 50763202 101526404