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102056940 = 22325797177
BaseRepresentation
bin1100001010101…
…00001111101100
321010001000210200
412011110033230
5202111310230
614043233500
72346320046
oct605241754
9233030720
10102056940
1152676987
122a218890
13181b3b2b
14d7a8a96
158e5e160
hex61543ec

102056940 has 72 divisors (see below), whose sum is σ = 313535040. Its totient is φ = 26866944.

The previous prime is 102056909. The next prime is 102056947. The reversal of 102056940 is 49650201.

It is not an unprimeable number, because it can be changed into a prime (102056947) 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 23 ways as a sum of consecutive naturals, for example, 10632 + ... + 17808.

Almost surely, 2102056940 is an apocalyptic number.

102056940 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 102056940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156767520).

102056940 is an abundant number, since it is smaller than the sum of its proper divisors (211478100).

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

102056940 is a wasteful number, since it uses less digits than its factorization.

102056940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7271 (or 7266 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 102056940 is about 10102.3234951173. The cubic root of 102056940 is about 467.3197986226.

The spelling of 102056940 in words is "one hundred two million, fifty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 395 474 711 790 948 1185 1422 1580 2370 2844 3555 4740 7110 7177 14220 14354 21531 28708 35885 43062 64593 71770 86124 107655 129186 143540 215310 258372 322965 430620 566983 645930 1133966 1291860 1700949 2267932 2834915 3401898 5102847 5669830 6803796 8504745 10205694 11339660 17009490 20411388 25514235 34018980 51028470 102056940