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108141376 = 2671991213
BaseRepresentation
bin1100111001000…
…01101101000000
321112111011002011
412130201231000
5210141011001
614421502304
72452120660
oct634415500
9245434064
10108141376
1156052242
1230271994
13195343a5
14105101a0
159761d51
hex6721b40

108141376 has 56 divisors (see below), whose sum is σ = 246684800. Its totient is φ = 46075392.

The previous prime is 108141373. The next prime is 108141379. The reversal of 108141376 is 673141801.

It is an interprime number because it is at equal distance from previous prime (108141373) and next prime (108141379).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108141373) 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 7 ways as a sum of consecutive naturals, for example, 88546 + ... + 89758.

Almost surely, 2108141376 is an apocalyptic number.

108141376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

108141376 is the 8491-st pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108141376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123342400).

108141376 is an abundant number, since it is smaller than the sum of its proper divisors (138543424).

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

108141376 is a wasteful number, since it uses less digits than its factorization.

108141376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 108141376 is about 10399.1045768374. The cubic root of 108141376 is about 476.4280216621.

The spelling of 108141376 in words is "one hundred eight million, one hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 199 224 398 448 796 1213 1393 1592 2426 2786 3184 4852 5572 6368 8491 9704 11144 12736 16982 19408 22288 33964 38816 44576 67928 77632 89152 135856 241387 271712 482774 543424 965548 1689709 1931096 3379418 3862192 6758836 7724384 13517672 15448768 27035344 54070688 108141376