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102903120 = 243251311091
BaseRepresentation
bin1100010001000…
…10110101010000
321011122000112200
412020202311100
5202320344440
614113323200
72356443045
oct610426520
9234560480
10102903120
11530a4701
122a566500
131841c028
14d9491cc
159079c30
hex6222d50

102903120 has 120 divisors (see below), whose sum is σ = 348540192. Its totient is φ = 27206400.

The previous prime is 102903113. The next prime is 102903121. The reversal of 102903120 is 21309201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102903093 and 102903102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102903121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93775 + ... + 94865.

Almost surely, 2102903120 is an apocalyptic number.

102903120 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 102903120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174270096).

102903120 is an abundant number, since it is smaller than the sum of its proper divisors (245637072).

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

102903120 is a wasteful number, since it uses less digits than its factorization.

102903120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 102903120 is about 10144.1175072058. The cubic root of 102903120 is about 468.6078011339.

The spelling of 102903120 in words is "one hundred two million, nine hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 131 144 180 240 262 360 393 524 655 720 786 1048 1091 1179 1310 1572 1965 2096 2182 2358 2620 3144 3273 3930 4364 4716 5240 5455 5895 6288 6546 7860 8728 9432 9819 10480 10910 11790 13092 15720 16365 17456 18864 19638 21820 23580 26184 31440 32730 39276 43640 47160 49095 52368 65460 78552 87280 94320 98190 130920 142921 157104 196380 261840 285842 392760 428763 571684 714605 785520 857526 1143368 1286289 1429210 1715052 2143815 2286736 2572578 2858420 3430104 4287630 5145156 5716840 6431445 6860208 8575260 10290312 11433680 12862890 17150520 20580624 25725780 34301040 51451560 102903120