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109902432 = 2533730941
BaseRepresentation
bin1101000110011…
…11101001100000
321122210121210110
412203033221200
5211113334212
614523331320
72503104153
oct643175140
9248717713
10109902432
1157045362
1230980b40
13199ccb33
141084bc9a
1599ada3c
hex68cfa60

109902432 has 48 divisors (see below), whose sum is σ = 296300592. Its totient is φ = 35642880.

The previous prime is 109902421. The next prime is 109902437. The reversal of 109902432 is 234209901.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1099024323 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 109902432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109902437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11919 + ... + 19022.

It is an arithmetic number, because the mean of its divisors is an integer number (6172929).

Almost surely, 2109902432 is an apocalyptic number.

109902432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

109902432 is an abundant number, since it is smaller than the sum of its proper divisors (186398160).

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

109902432 is a wasteful number, since it uses less digits than its factorization.

109902432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30991 (or 30983 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 109902432 is about 10483.4360779279. The cubic root of 109902432 is about 479.0002803915. Note that the first 3 decimals are identical.

The spelling of 109902432 in words is "one hundred nine million, nine hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 30941 61882 92823 123764 185646 247528 371292 495056 742584 990112 1144817 1485168 2289634 2970336 3434451 4579268 6868902 9158536 13737804 18317072 27475608 36634144 54951216 109902432