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102989920 = 25511163359
BaseRepresentation
bin1100010001110…
…00000001100000
321011210102121111
412020320001200
5202331134140
614115233104
72360254105
oct610700140
9234712544
10102989920
1153153940
122a5a8794
131844c6a7
14d96caac
1590957ea
hex6238060

102989920 has 96 divisors (see below), whose sum is σ = 267805440. Its totient is φ = 37117440.

The previous prime is 102989917. The next prime is 102989941. The reversal of 102989920 is 29989201.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286701 + ... + 287059.

It is an arithmetic number, because the mean of its divisors is an integer number (2789640).

Almost surely, 2102989920 is an apocalyptic number.

102989920 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 102989920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133902720).

102989920 is an abundant number, since it is smaller than the sum of its proper divisors (164815520).

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

102989920 is a wasteful number, since it uses less digits than its factorization.

102989920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The square root of 102989920 is about 10148.3949469855. The cubic root of 102989920 is about 468.7395228473.

The spelling of 102989920 in words is "one hundred two million, nine hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 163 176 220 326 352 359 440 652 718 815 880 1304 1436 1630 1760 1793 1795 2608 2872 3260 3586 3590 3949 5216 5744 6520 7172 7180 7898 8965 11488 13040 14344 14360 15796 17930 19745 26080 28688 28720 31592 35860 39490 57376 57440 58517 63184 71720 78980 117034 126368 143440 157960 234068 286880 292585 315920 468136 585170 631840 643687 936272 1170340 1287374 1872544 2340680 2574748 3218435 4681360 5149496 6436870 9362720 10298992 12873740 20597984 25747480 51494960 102989920