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104870584 = 23721321583
BaseRepresentation
bin1100100000000…
…11001010111000
321022022222101201
412100003022320
5203321324314
614223423544
72412246100
oct620031270
9238288351
10104870584
1154218905
122b154bb4
131895a700
14dcdc200
159317b74
hex64032b8

104870584 has 72 divisors (see below), whose sum is σ = 247840560. Its totient is φ = 41461056.

The previous prime is 104870581. The next prime is 104870627. The reversal of 104870584 is 485078401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104870581) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 65457 + ... + 67039.

It is an arithmetic number, because the mean of its divisors is an integer number (3442230).

Almost surely, 2104870584 is an apocalyptic number.

104870584 is a gapful number since it is divisible by the number (14) 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 104870584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123920280).

104870584 is an abundant number, since it is smaller than the sum of its proper divisors (142969976).

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

104870584 is a wasteful number, since it uses less digits than its factorization.

104870584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The square root of 104870584 is about 10240.6339647504. The cubic root of 104870584 is about 471.5754945094.

The spelling of 104870584 in words is "one hundred four million, eight hundred seventy thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 169 182 196 338 364 392 637 676 728 1183 1274 1352 1583 2366 2548 3166 4732 5096 6332 8281 9464 11081 12664 16562 20579 22162 33124 41158 44324 66248 77567 82316 88648 144053 155134 164632 267527 288106 310268 535054 576212 620536 1008371 1070108 1152424 1872689 2016742 2140216 3745378 4033484 7490756 8066968 13108823 14981512 26217646 52435292 104870584