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104518960 = 2457313293
BaseRepresentation
bin1100011101011…
…01010100110000
321021200010001121
412032231110300
5203224101320
614212112024
72406253000
oct616552460
9237603047
10104518960
1153aa8707
122b005614
1318866650
14dc4a000
1592988aa
hex63ad530

104518960 has 160 divisors (see below), whose sum is σ = 306230400. Its totient is φ = 32965632.

The previous prime is 104518933. The next prime is 104518961. The reversal of 104518960 is 69815401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104518961) 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 31 ways as a sum of consecutive naturals, for example, 356574 + ... + 356866.

It is an arithmetic number, because the mean of its divisors is an integer number (1913940).

Almost surely, 2104518960 is an apocalyptic number.

104518960 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 104518960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153115200).

104518960 is an abundant number, since it is smaller than the sum of its proper divisors (201711440).

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

104518960 is a wasteful number, since it uses less digits than its factorization.

104518960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 104518960 is about 10223.4514719834. The cubic root of 104518960 is about 471.0478507348.

The spelling of 104518960 in words is "one hundred four million, five hundred eighteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 49 52 56 65 70 80 91 98 104 112 130 140 182 196 208 245 260 280 293 343 364 392 455 490 520 560 586 637 686 728 784 910 980 1040 1172 1274 1372 1456 1465 1715 1820 1960 2051 2344 2548 2744 2930 3185 3430 3640 3809 3920 4102 4459 4688 5096 5488 5860 6370 6860 7280 7618 8204 8918 10192 10255 11720 12740 13720 14357 15236 16408 17836 19045 20510 22295 23440 25480 26663 27440 28714 30472 32816 35672 38090 41020 44590 50960 53326 57428 60944 71344 71785 76180 82040 89180 100499 106652 114856 133315 143570 152360 164080 178360 186641 200998 213304 229712 266630 287140 304720 356720 373282 401996 426608 502495 533260 574280 746564 803992 933205 1004990 1066520 1148560 1306487 1493128 1607984 1866410 2009980 2133040 2612974 2986256 3732820 4019960 5225948 6532435 7465640 8039920 10451896 13064870 14931280 20903792 26129740 52259480 104518960