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104251640 = 23523472411
BaseRepresentation
bin1100011011011…
…00000011111000
321021011112100212
412031230003320
5203142023030
614202250252
72404060433
oct615540370
9237145325
10104251640
1153935889
122aab6988
13187a1a7c
14dbba81a
159244595
hex636c0f8

104251640 has 64 divisors (see below), whose sum is σ = 250076160. Its totient is φ = 39022720.

The previous prime is 104251619. The next prime is 104251649. The reversal of 104251640 is 46152401.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104251649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42035 + ... + 44445.

It is an arithmetic number, because the mean of its divisors is an integer number (3907440).

Almost surely, 2104251640 is an apocalyptic number.

104251640 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 104251640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125038080).

104251640 is an abundant number, since it is smaller than the sum of its proper divisors (145824520).

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

104251640 is a wasteful number, since it uses less digits than its factorization.

104251640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 104251640 is about 10210.3692391607. The cubic root of 104251640 is about 470.6459204164.

The spelling of 104251640 in words is "one hundred four million, two hundred fifty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 47 92 94 115 184 188 230 235 376 460 470 920 940 1081 1880 2162 2411 4324 4822 5405 8648 9644 10810 12055 19288 21620 24110 43240 48220 55453 96440 110906 113317 221812 226634 277265 443624 453268 554530 566585 906536 1109060 1133170 2218120 2266340 2606291 4532680 5212582 10425164 13031455 20850328 26062910 52125820 104251640