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102048930 = 23352316433
BaseRepresentation
bin1100001010100…
…10010010100010
321010000121211000
412011102102202
5202111031210
614043132430
72346254514
oct605222242
9233017730
10102048930
1152670965
122a214116
13181b02a9
14d7a5bb4
158e5bac0
hex61524a2

102048930 has 64 divisors (see below), whose sum is σ = 283979520. Its totient is φ = 26028288.

The previous prime is 102048929. The next prime is 102048967. The reversal of 102048930 is 39840201.

It is a super-2 number, since 2×1020489302 = 20827968228289800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102048894 and 102048903.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2007 + ... + 14426.

It is an arithmetic number, because the mean of its divisors is an integer number (4437180).

Almost surely, 2102048930 is an apocalyptic number.

102048930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102048930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141989760).

102048930 is an abundant number, since it is smaller than the sum of its proper divisors (181930590).

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

102048930 is a wasteful number, since it uses less digits than its factorization.

102048930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16472 (or 16466 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102048930 is about 10101.9270438862. The cubic root of 102048930 is about 467.3075723447.

The spelling of 102048930 in words is "one hundred two million, forty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 2070 3105 6210 16433 32866 49299 82165 98598 147897 164330 246495 295794 377959 443691 492990 739485 755918 887382 1133877 1478970 1889795 2218455 2267754 3401631 3779590 4436910 5669385 6803262 10204893 11338770 17008155 20409786 34016310 51024465 102048930