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100902438 = 232713229269
BaseRepresentation
bin1100000001110…
…10011000100110
321000212101010100
412000322120212
5201312334223
614002404530
72333441130
oct600723046
9230771110
10100902438
1151a5854a
1229960746
1317b9b4b0
14d588050
158cd2043
hex603a626

100902438 has 96 divisors (see below), whose sum is σ = 271252800. Its totient is φ = 26396928.

The previous prime is 100902437. The next prime is 100902443. The reversal of 100902438 is 834209001.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100902437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374968 + ... + 375236.

It is an arithmetic number, because the mean of its divisors is an integer number (2825550).

Almost surely, 2100902438 is an apocalyptic number.

100902438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100902438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135626400).

100902438 is an abundant number, since it is smaller than the sum of its proper divisors (170350362).

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

100902438 is a wasteful number, since it uses less digits than its factorization.

100902438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 100902438 is about 10045.0205574703. The cubic root of 100902438 is about 465.5509529144.

The spelling of 100902438 in words is "one hundred million, nine hundred two thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 229 234 269 273 458 538 546 687 807 819 1374 1603 1614 1638 1883 2061 2421 2977 3206 3497 3766 4122 4809 4842 5649 5954 6994 8931 9618 10491 11298 14427 16947 17862 20839 20982 24479 26793 28854 31473 33894 41678 48958 53586 61601 62517 62946 73437 123202 125034 146874 184803 187551 220311 369606 375102 431207 440622 554409 800813 862414 1108818 1293621 1601626 2402439 2587242 3880863 4804878 5605691 7207317 7761726 11211382 14414634 16817073 33634146 50451219 100902438