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100149696 = 263419319
BaseRepresentation
bin1011111100000…
…10100111000000
320222110010120000
411332002213000
5201114242241
613534320000
72324154423
oct576024700
9228403500
10100149696
1151593a49
1229659000
131799699a
14d42d9ba
158bd3eb6
hex5f829c0

100149696 has 70 divisors (see below), whose sum is σ = 296890440. Its totient is φ = 33381504.

The previous prime is 100149667. The next prime is 100149773. The reversal of 100149696 is 696941001.

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 100149696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4476 + ... + 14843.

It is an arithmetic number, because the mean of its divisors is an integer number (4241292).

Almost surely, 2100149696 is an apocalyptic number.

100149696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100149696 is an abundant number, since it is smaller than the sum of its proper divisors (196740744).

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

100149696 is an equidigital number, since it uses as much as digits as its factorization.

100149696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19343 (or 19324 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 100149696 is about 10007.4820009831. The cubic root of 100149696 is about 464.3903769815.

The spelling of 100149696 in words is "one hundred million, one hundred forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 19319 38638 57957 77276 115914 154552 173871 231828 309104 347742 463656 521613 618208 695484 927312 1043226 1236416 1390968 1564839 1854624 2086452 2781936 3129678 3709248 4172904 5563872 6259356 8345808 11127744 12518712 16691616 25037424 33383232 50074848 100149696