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104046144 = 263836529
BaseRepresentation
bin1100011001110…
…01111001000000
321020210002110220
412030321321000
5203113434034
614154023040
72402243346
oct614717100
9236702426
10104046144
1153805454
122aa17a80
131872c387
14db65996
159203749
hex6339e40

104046144 has 56 divisors (see below), whose sum is σ = 278648160. Its totient is φ = 34258944.

The previous prime is 104046139. The next prime is 104046149. The reversal of 104046144 is 441640401.

It is an interprime number because it is at equal distance from previous prime (104046139) and next prime (104046149).

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

It is not an unprimeable number, because it can be changed into a prime (104046149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12672 + ... + 19200.

It is an arithmetic number, because the mean of its divisors is an integer number (4975860).

Almost surely, 2104046144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139324080).

104046144 is an abundant number, since it is smaller than the sum of its proper divisors (174602016).

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

104046144 is an equidigital number, since it uses as much as digits as its factorization.

104046144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6627 (or 6617 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 104046144 is about 10200.3011720243. The cubic root of 104046144 is about 470.3364785345.

Adding to 104046144 its reverse (441640401), we get a palindrome (545686545).

The spelling of 104046144 in words is "one hundred four million, forty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 192 249 332 498 664 996 1328 1992 2656 3984 5312 6529 7968 13058 15936 19587 26116 39174 52232 78348 104464 156696 208928 313392 417856 541907 626784 1083814 1253568 1625721 2167628 3251442 4335256 6502884 8670512 13005768 17341024 26011536 34682048 52023072 104046144