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104795560 = 23529611481
BaseRepresentation
bin1100011111100…
…00110110101000
321022012011111001
412033300312220
5203311424220
614222044344
72411514262
oct617606650
9238164431
10104795560
1154177501
122b1196b4
131893250c
14dcbcb32
15930080a
hex63f0da8

104795560 has 64 divisors (see below), whose sum is σ = 248086800. Its totient is φ = 39782400.

The previous prime is 104795557. The next prime is 104795591. The reversal of 104795560 is 65597401.

It can be written as a sum of positive squares in 8 ways, for example, as 15038884 + 89756676 = 3878^2 + 9474^2 .

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, 70020 + ... + 71500.

Almost surely, 2104795560 is an apocalyptic number.

104795560 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 104795560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124043400).

104795560 is an abundant number, since it is smaller than the sum of its proper divisors (143291240).

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

104795560 is a wasteful number, since it uses less digits than its factorization.

104795560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 104795560 is about 10236.9702549143. The cubic root of 104795560 is about 471.4630132692.

It can be divided in two parts, 104 and 795560, that added together give a square (795664 = 8922).

The spelling of 104795560 in words is "one hundred four million, seven hundred ninety-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 61 116 122 145 232 244 290 305 488 580 610 1160 1220 1481 1769 2440 2962 3538 5924 7076 7405 8845 11848 14152 14810 17690 29620 35380 42949 59240 70760 85898 90341 171796 180682 214745 343592 361364 429490 451705 722728 858980 903410 1717960 1806820 2619889 3613640 5239778 10479556 13099445 20959112 26198890 52397780 104795560