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100438968 = 2337739809
BaseRepresentation
bin1011111110010…
…01001110111000
320222222211100210
411333021032320
5201203021333
613544431120
72326500660
oct577111670
9228884323
10100438968
1151771313
12297784a0
1317a68556
14d4a71a0
158c3ea63
hex5fc93b8

100438968 has 64 divisors (see below), whose sum is σ = 287712000. Its totient is φ = 28622592.

The previous prime is 100438957. The next prime is 100438969. The reversal of 100438968 is 869834001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100438969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123748 + ... + 124556.

It is an arithmetic number, because the mean of its divisors is an integer number (4495500).

Almost surely, 2100438968 is an apocalyptic number.

It is an amenable number.

100438968 is an abundant number, since it is smaller than the sum of its proper divisors (187273032).

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

100438968 is a wasteful number, since it uses less digits than its factorization.

100438968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 100438968 is about 10021.9243661085. The cubic root of 100438968 is about 464.8370616543.

The spelling of 100438968 in words is "one hundred million, four hundred thirty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 739 809 1478 1618 2217 2427 2956 3236 4434 4854 5173 5663 5912 6472 8868 9708 10346 11326 15519 16989 17736 19416 20692 22652 31038 33978 41384 45304 62076 67956 124152 135912 597851 1195702 1793553 2391404 3587106 4184957 4782808 7174212 8369914 12554871 14348424 16739828 25109742 33479656 50219484 100438968