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100387368 = 23321394269
BaseRepresentation
bin1011111101111…
…00101000101000
320222220012120200
411332330220220
5201144343433
613543352200
72326164354
oct576745050
9228805520
10100387368
1151736574
1229752660
1317a4ac13
14d492464
158c2e613
hex5fbca28

100387368 has 24 divisors (see below), whose sum is σ = 271882650. Its totient is φ = 33462432.

The previous prime is 100387361. The next prime is 100387381. The reversal of 100387368 is 863783001.

It can be written as a sum of positive squares in only one way, i.e., 76003524 + 24383844 = 8718^2 + 4938^2 .

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 (100387361) 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, 697063 + ... + 697206.

Almost surely, 2100387368 is an apocalyptic number.

100387368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100387368 is an abundant number, since it is smaller than the sum of its proper divisors (171495282).

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

100387368 is a wasteful number, since it uses less digits than its factorization.

100387368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394281 (or 1394274 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 100387368 is about 10019.3496794952. The cubic root of 100387368 is about 464.7574454737.

The spelling of 100387368 in words is "one hundred million, three hundred eighty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1394269 2788538 4182807 5577076 8365614 11154152 12548421 16731228 25096842 33462456 50193684 100387368