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104917540 = 225713173391
BaseRepresentation
bin1100100000011…
…10101000100100
321022102100210211
412100032220210
5203324330130
614224425204
72412533020
oct620165044
9238370724
10104917540
1154250112
122b178204
1318975bb0
14dd11380
159326a2a
hex640ea24

104917540 has 96 divisors (see below), whose sum is σ = 287207424. Its totient is φ = 31242240.

The previous prime is 104917529. The next prime is 104917567. The reversal of 104917540 is 45719401.

It is a super-2 number, since 2×1049175402 = 22015380399303200, which contains 22 as substring.

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, 29245 + ... + 32635.

It is an arithmetic number, because the mean of its divisors is an integer number (2991744).

Almost surely, 2104917540 is an apocalyptic number.

104917540 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 104917540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143603712).

104917540 is an abundant number, since it is smaller than the sum of its proper divisors (182289884).

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

104917540 is a wasteful number, since it uses less digits than its factorization.

104917540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3437 (or 3435 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 104917540 is about 10242.9263396746. The cubic root of 104917540 is about 471.6458669437.

The spelling of 104917540 in words is "one hundred four million, nine hundred seventeen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 34 35 52 65 68 70 85 91 119 130 140 170 182 221 238 260 340 364 442 455 476 595 884 910 1105 1190 1547 1820 2210 2380 3094 3391 4420 6188 6782 7735 13564 15470 16955 23737 30940 33910 44083 47474 57647 67820 88166 94948 115294 118685 176332 220415 230588 237370 288235 308581 403529 440830 474740 576470 617162 749411 807058 881660 1152940 1234324 1498822 1542905 1614116 2017645 2997644 3085810 3747055 4035290 5245877 6171620 7494110 8070580 10491754 14988220 20983508 26229385 52458770 104917540