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102947900 = 225211313019
BaseRepresentation
bin1100010001011…
…01110000111100
321011201021222012
412020231300330
5202323313100
614114310352
72360020436
oct610556074
9234637865
10102947900
1153125310
122a5883b8
1318436523
14d95b656
159088135
hex622dc3c

102947900 has 72 divisors (see below), whose sum is σ = 251650560. Its totient is φ = 36216000.

The previous prime is 102947899. The next prime is 102947921. The reversal of 102947900 is 9749201.

It is a super-2 number, since 2×1029479002 = 21196540228820000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 32591 + ... + 35609.

Almost surely, 2102947900 is an apocalyptic number.

102947900 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 102947900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125825280).

102947900 is an abundant number, since it is smaller than the sum of its proper divisors (148702660).

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

102947900 is a wasteful number, since it uses less digits than its factorization.

102947900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 102947900 is about 10146.3244576546. The cubic root of 102947900 is about 468.6757654295.

The spelling of 102947900 in words is "one hundred two million, nine hundred forty-seven thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 620 682 775 1100 1364 1550 1705 3019 3100 3410 6038 6820 8525 12076 15095 17050 30190 33209 34100 60380 66418 75475 93589 132836 150950 166045 187178 301900 332090 374356 467945 664180 830225 935890 1029479 1660450 1871780 2058958 2339725 3320900 4117916 4679450 5147395 9358900 10294790 20589580 25736975 51473950 102947900