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104343960 = 23357177307
BaseRepresentation
bin1100011100000…
…10100110011000
321021100020000010
412032002212120
5203203001320
614204241520
72404623540
oct616024630
9237306003
10104343960
1153999186
122ab402a0
1318804ab6
14dc02320
159261ae0
hex6382998

104343960 has 128 divisors (see below), whose sum is σ = 378846720. Its totient is φ = 22444032.

The previous prime is 104343949. The next prime is 104343971. The reversal of 104343960 is 69343401.

It is an interprime number because it is at equal distance from previous prime (104343949) and next prime (104343971).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10627 + ... + 17933.

It is an arithmetic number, because the mean of its divisors is an integer number (2959740).

Almost surely, 2104343960 is an apocalyptic number.

104343960 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 104343960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189423360).

104343960 is an abundant number, since it is smaller than the sum of its proper divisors (274502760).

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

104343960 is a wasteful number, since it uses less digits than its factorization.

104343960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7345 (or 7341 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 104343960 is about 10214.8891330254. The cubic root of 104343960 is about 470.7848061994.

The spelling of 104343960 in words is "one hundred four million, three hundred forty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2380 2856 3570 4760 7140 7307 14280 14614 21921 29228 36535 43842 51149 58456 73070 87684 102298 109605 124219 146140 153447 175368 204596 219210 248438 255745 292280 306894 372657 409192 438420 496876 511490 613788 621095 745314 767235 869533 876840 993752 1022980 1227576 1242190 1490628 1534470 1739066 1863285 2045960 2484380 2608599 2981256 3068940 3478132 3726570 4347665 4968760 5217198 6137880 6956264 7453140 8695330 10434396 13042995 14906280 17390660 20868792 26085990 34781320 52171980 104343960