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104450240 = 2651033169
BaseRepresentation
bin1100011100111…
…00100011000000
321021112121210102
412032130203000
5203214401430
614210421532
72405545436
oct616344300
9237477712
10104450240
1153a61014
122ab918a8
131884129b
14dc2cd56
159283345
hex639c8c0

104450240 has 56 divisors (see below), whose sum is σ = 251216160. Its totient is φ = 41361408.

The previous prime is 104450233. The next prime is 104450251. The reversal of 104450240 is 42054401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31376 + ... + 34544.

Almost surely, 2104450240 is an apocalyptic number.

104450240 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 104450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125608080).

104450240 is an abundant number, since it is smaller than the sum of its proper divisors (146765920).

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

104450240 is a wasteful number, since it uses less digits than its factorization.

104450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3289 (or 3279 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 104450240 is about 10220.0900191730. The cubic root of 104450240 is about 470.9445919408.

The spelling of 104450240 in words is "one hundred four million, four hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 160 206 320 412 515 824 1030 1648 2060 3169 3296 4120 6338 6592 8240 12676 15845 16480 25352 31690 32960 50704 63380 101408 126760 202816 253520 326407 507040 652814 1014080 1305628 1632035 2611256 3264070 5222512 6528140 10445024 13056280 20890048 26112560 52225120 104450240