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104708560 = 24511229373
BaseRepresentation
bin1100011110110…
…11100111010000
321022000202010211
412033123213100
5203301133220
614220133504
72411002525
oct617334720
9238022124
10104708560
1154118100
122b097294
1318901a38
14dc9914c
1592d4b5a
hex63db9d0

104708560 has 120 divisors (see below), whose sum is σ = 277560360. Its totient is φ = 36664320.

The previous prime is 104708551. The next prime is 104708573. The reversal of 104708560 is 65807401.

It can be written as a sum of positive squares in 4 ways, for example, as 12702096 + 92006464 = 3564^2 + 9592^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280534 + ... + 280906.

It is an arithmetic number, because the mean of its divisors is an integer number (2313003).

Almost surely, 2104708560 is an apocalyptic number.

104708560 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 104708560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138780180).

104708560 is an abundant number, since it is smaller than the sum of its proper divisors (172851800).

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

104708560 is a wasteful number, since it uses less digits than its factorization.

104708560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 104708560 is about 10232.7200684862. The cubic root of 104708560 is about 471.3325095275.

The spelling of 104708560 in words is "one hundred four million, seven hundred eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 121 145 176 220 232 242 290 319 373 440 464 484 580 605 638 746 880 968 1160 1210 1276 1492 1595 1865 1936 2320 2420 2552 2984 3190 3509 3730 4103 4840 5104 5968 6380 7018 7460 8206 9680 10817 12760 14036 14920 16412 17545 20515 21634 25520 28072 29840 32824 35090 41030 43268 45133 54085 56144 65648 70180 82060 86536 90266 108170 118987 140360 164120 173072 180532 216340 225665 237974 280720 328240 361064 432680 451330 475948 594935 722128 865360 902660 951896 1189870 1308857 1805320 1903792 2379740 2617714 3610640 4759480 5235428 6544285 9518960 10470856 13088570 20941712 26177140 52354280 104708560