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100377864 = 23321394137
BaseRepresentation
bin1011111101110…
…10010100001000
320222212201112200
411332322110020
5201144042424
613543240200
72326124556
oct576722410
9228781480
10100377864
115172a414
1229749060
1317a467b2
14d48cbd6
158c2b8c9
hex5fba508

100377864 has 24 divisors (see below), whose sum is σ = 271856910. Its totient is φ = 33459264.

The previous prime is 100377863. The next prime is 100377869. The reversal of 100377864 is 468773001.

It can be written as a sum of positive squares in only one way, i.e., 55621764 + 44756100 = 7458^2 + 6690^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (100377863) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 696997 + ... + 697140.

Almost surely, 2100377864 is an apocalyptic number.

It is an amenable number.

100377864 is an abundant number, since it is smaller than the sum of its proper divisors (171479046).

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

100377864 is a wasteful number, since it uses less digits than its factorization.

100377864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394149 (or 1394142 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 100377864 is about 10018.8753859902. The cubic root of 100377864 is about 464.7427783091.

The spelling of 100377864 in words is "one hundred million, three hundred seventy-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1394137 2788274 4182411 5576548 8364822 11153096 12547233 16729644 25094466 33459288 50188932 100377864