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100437144 = 2334184881
BaseRepresentation
bin1011111110010…
…00110010011000
320222222201212020
411333020302120
5201202442034
613544414440
72326462443
oct577106230
9228881766
10100437144
115176aa05
1229777420
1317a67782
14d4a665a
158c3e249
hex5fc8c98

100437144 has 16 divisors (see below), whose sum is σ = 251092920. Its totient is φ = 33479040.

The previous prime is 100437137. The next prime is 100437149. The reversal of 100437144 is 441734001.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 4184881 = 100437144 / (1 + 0 + 0 + 4 + 3 + 7 + 1 + 4 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100437149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2092417 + ... + 2092464.

Almost surely, 2100437144 is an apocalyptic number.

It is an amenable number.

100437144 is an abundant number, since it is smaller than the sum of its proper divisors (150655776).

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

100437144 is a wasteful number, since it uses less digits than its factorization.

100437144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4184890 (or 4184886 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 100437144 is about 10021.8333652082. The cubic root of 100437144 is about 464.8342477799.

The spelling of 100437144 in words is "one hundred million, four hundred thirty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 4184881 8369762 12554643 16739524 25109286 33479048 50218572 100437144