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104125440 = 210356779
BaseRepresentation
bin1100011010011…
…01010000000000
321020221010020210
412031031100000
5203124003230
614155434120
72403023466
oct615152000
9236833223
10104125440
1153859a91
122aa55940
13187594b3
14db86836
15921beb0
hex634d400

104125440 has 88 divisors (see below), whose sum is σ = 333087840. Its totient is φ = 27762688.

The previous prime is 104125433. The next prime is 104125447. The reversal of 104125440 is 44521401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104125433) and next prime (104125447).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104125447) 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, 11971 + ... + 18749.

Almost surely, 2104125440 is an apocalyptic number.

104125440 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 104125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166543920).

104125440 is an abundant number, since it is smaller than the sum of its proper divisors (228962400).

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

104125440 is an equidigital number, since it uses as much as digits as its factorization.

104125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6807 (or 6789 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 104125440 is about 10204.1873757786. The cubic root of 104125440 is about 470.4559330038.

Adding to 104125440 its reverse (44521401), we get a palindrome (148646841).

The spelling of 104125440 in words is "one hundred four million, one hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 6779 7680 13558 15360 20337 27116 33895 40674 54232 67790 81348 101685 108464 135580 162696 203370 216928 271160 325392 406740 433856 542320 650784 813480 867712 1084640 1301568 1626960 1735424 2169280 2603136 3253920 3470848 4338560 5206272 6507840 6941696 8677120 10412544 13015680 17354240 20825088 26031360 34708480 52062720 104125440