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104354120 = 23513243359
BaseRepresentation
bin1100011100001…
…01000101001000
321021100201221102
412032011011020
5203203312440
614204400532
72404665263
oct616050510
9237321842
10104354120
11539a5882
122ab46148
1318809600
14dc05cda
159264b15
hex6385148

104354120 has 96 divisors (see below), whose sum is σ = 260884800. Its totient is φ = 37529856.

The previous prime is 104354113. The next prime is 104354123. The reversal of 104354120 is 21453401.

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

It is a junction number, because it is equal to n+sod(n) for n = 104354092 and 104354101.

It is not an unprimeable number, because it can be changed into a prime (104354123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290501 + ... + 290859.

It is an arithmetic number, because the mean of its divisors is an integer number (2717550).

Almost surely, 2104354120 is an apocalyptic number.

104354120 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 104354120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130442400).

104354120 is an abundant number, since it is smaller than the sum of its proper divisors (156530680).

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

104354120 is a wasteful number, since it uses less digits than its factorization.

104354120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 104354120 is about 10215.3864341982. The cubic root of 104354120 is about 470.8000858520.

The spelling of 104354120 in words is "one hundred four million, three hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 169 172 215 260 338 344 359 430 520 559 676 718 845 860 1118 1352 1436 1690 1720 1795 2236 2795 2872 3380 3590 4472 4667 5590 6760 7180 7267 9334 11180 14360 14534 15437 18668 22360 23335 29068 30874 36335 37336 46670 58136 60671 61748 72670 77185 93340 121342 123496 145340 154370 186680 200681 242684 290680 303355 308740 401362 485368 606710 617480 802724 1003405 1213420 1605448 2006810 2426840 2608853 4013620 5217706 8027240 10435412 13044265 20870824 26088530 52177060 104354120