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104113620 = 223351314831
BaseRepresentation
bin1100011010010…
…10010111010100
321020220112001000
412031022113110
5203123113440
614155303300
72402644152
oct615122724
9236815030
10104113620
1153851116
122aa4ab30
1318753cc0
14db823d2
159218730
hex634a5d4

104113620 has 96 divisors (see below), whose sum is σ = 348848640. Its totient is φ = 25626240.

The previous prime is 104113613. The next prime is 104113643. The reversal of 104113620 is 26311401.

It is a happy number.

104113620 is a `hidden beast` number, since 1 + 0 + 41 + 1 + 3 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 104113593 and 104113602.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 396 + ... + 14435.

It is an arithmetic number, because the mean of its divisors is an integer number (3633840).

Almost surely, 2104113620 is an apocalyptic number.

104113620 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 104113620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174424320).

104113620 is an abundant number, since it is smaller than the sum of its proper divisors (244735020).

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

104113620 is a wasteful number, since it uses less digits than its factorization.

104113620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14862 (or 14854 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 104113620 is about 10203.6081853431. The cubic root of 104113620 is about 470.4381307595.

The spelling of 104113620 in words is "one hundred four million, one hundred thirteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 14831 29662 44493 59324 74155 88986 133479 148310 177972 192803 222465 266958 296620 385606 400437 444930 533916 578409 667395 771212 800874 889860 964015 1156818 1334790 1601748 1735227 1928030 2002185 2313636 2669580 2892045 3470454 3856060 4004370 5205681 5784090 6940908 8008740 8676135 10411362 11568180 17352270 20822724 26028405 34704540 52056810 104113620