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104458240 = 21151012
BaseRepresentation
bin1100011100111…
…10100000000000
321021120000202201
412032132200000
5203220130430
614210522544
72405610655
oct616364000
9237500681
10104458240
1153a67027
122ab96454
1318844b13
14dc31c2c
1592858ca
hex639e800

104458240 has 72 divisors (see below), whose sum is σ = 253144710. Its totient is φ = 41369600.

The previous prime is 104458229. The next prime is 104458247. The reversal of 104458240 is 42854401.

It can be written as a sum of positive squares in 3 ways, for example, as 102900736 + 1557504 = 10144^2 + 1248^2 .

It is a junction number, because it is equal to n+sod(n) for n = 104458199 and 104458208.

It is not an unprimeable number, because it can be changed into a prime (104458247) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1034190 + ... + 1034290.

Almost surely, 2104458240 is an apocalyptic number.

104458240 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 104458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126572355).

104458240 is an abundant number, since it is smaller than the sum of its proper divisors (148686470).

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

104458240 is an frugal number, since it uses more digits than its factorization.

104458240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 104458240 is about 10220.4813976642. The cubic root of 104458240 is about 470.9566150839.

104458240 divided by its product of nonzero digits (5120) gives a palindrome (20402).

The spelling of 104458240 in words is "one hundred four million, four hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 256 320 404 505 512 640 808 1010 1024 1280 1616 2020 2048 2560 3232 4040 5120 6464 8080 10201 10240 12928 16160 20402 25856 32320 40804 51005 51712 64640 81608 102010 103424 129280 163216 204020 206848 258560 326432 408040 517120 652864 816080 1034240 1305728 1632160 2611456 3264320 5222912 6528640 10445824 13057280 20891648 26114560 52229120 104458240