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104097920 = 275311523
BaseRepresentation
bin1100011010001…
…10100010000000
321020212201111112
412031012202000
5203122113140
614155102452
72402550323
oct615064200
9236781445
10104097920
1153840343
122aa41a28
1318749b04
14db7a7ba
159213c65
hex6346880

104097920 has 64 divisors (see below), whose sum is σ = 250136640. Its totient is φ = 41425920.

The previous prime is 104097881. The next prime is 104097923. The reversal of 104097920 is 29790401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (104097923) 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, 198779 + ... + 199301.

It is an arithmetic number, because the mean of its divisors is an integer number (3908385).

Almost surely, 2104097920 is an apocalyptic number.

104097920 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 104097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125068320).

104097920 is an abundant number, since it is smaller than the sum of its proper divisors (146038720).

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

104097920 is an equidigital number, since it uses as much as digits as its factorization.

104097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 104097920 is about 10202.8388206420. The cubic root of 104097920 is about 470.4144827170.

The spelling of 104097920 in words is "one hundred four million, ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 311 320 523 622 640 1046 1244 1555 2092 2488 2615 3110 4184 4976 5230 6220 8368 9952 10460 12440 16736 19904 20920 24880 33472 39808 41840 49760 66944 83680 99520 162653 167360 199040 325306 334720 650612 813265 1301224 1626530 2602448 3253060 5204896 6506120 10409792 13012240 20819584 26024480 52048960 104097920