Search a number
-
+
104045640 = 23356712941
BaseRepresentation
bin1100011001110…
…01110001001000
321020210001210020
412030321301020
5203113430030
614154020440
72402242026
oct614716110
9236701706
10104045640
1153805036
122aa17720
131872c08a
14db65716
159203510
hex6339c48

104045640 has 64 divisors (see below), whose sum is σ = 316820160. Its totient is φ = 27329280.

The previous prime is 104045621. The next prime is 104045651. The reversal of 104045640 is 46540401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 104045640.

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, 1570 + ... + 14510.

It is an arithmetic number, because the mean of its divisors is an integer number (4950315).

Almost surely, 2104045640 is an apocalyptic number.

104045640 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 104045640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158410080).

104045640 is an abundant number, since it is smaller than the sum of its proper divisors (212774520).

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

104045640 is a wasteful number, since it uses less digits than its factorization.

104045640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13022 (or 13018 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 104045640 is about 10200.2764668415. The cubic root of 104045640 is about 470.3357190959.

The spelling of 104045640 in words is "one hundred four million, forty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 4020 8040 12941 25882 38823 51764 64705 77646 103528 129410 155292 194115 258820 310584 388230 517640 776460 867047 1552920 1734094 2601141 3468188 4335235 5202282 6936376 8670470 10404564 13005705 17340940 20809128 26011410 34681880 52022820 104045640