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102960920 = 23531431931
BaseRepresentation
bin1100010001100…
…00111100011000
321011201221211102
412020300330120
5202324222140
614114450532
72360103416
oct610607430
9234657742
10102960920
1153134077
122a593a48
131843c42a
14d9622b6
15908be15
hex6230f18

102960920 has 64 divisors (see below), whose sum is σ = 244823040. Its totient is φ = 38908800.

The previous prime is 102960917. The next prime is 102960931. The reversal of 102960920 is 29069201.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 52355 + ... + 54285.

It is an arithmetic number, because the mean of its divisors is an integer number (3825360).

Almost surely, 2102960920 is an apocalyptic number.

102960920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102960920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122411520).

102960920 is an abundant number, since it is smaller than the sum of its proper divisors (141862120).

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

102960920 is a wasteful number, since it uses less digits than its factorization.

102960920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 102960920 is about 10146.9660490217. The cubic root of 102960920 is about 468.6955226764.

The spelling of 102960920 in words is "one hundred two million, nine hundred sixty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 43 62 86 124 155 172 215 248 310 344 430 620 860 1240 1333 1720 1931 2666 3862 5332 6665 7724 9655 10664 13330 15448 19310 26660 38620 53320 59861 77240 83033 119722 166066 239444 299305 332132 415165 478888 598610 664264 830330 1197220 1660660 2394440 2574023 3321320 5148046 10296092 12870115 20592184 25740230 51480460 102960920