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104745960 = 23345112939
BaseRepresentation
bin1100011111001…
…00101111101000
321022002122110000
412033210233220
5203303332320
614221023000
72411216544
oct617445750
9238078400
10104745960
1154143210
122b0b4a60
1318915a77
14dca8a24
1592e0c90
hex63e4be8

104745960 has 160 divisors (see below), whose sum is σ = 384199200. Its totient is φ = 25384320.

The previous prime is 104745937. The next prime is 104745961. The reversal of 104745960 is 69547401.

It is a super-2 number, since 2×1047459602 = 21943432272643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (104745961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34171 + ... + 37109.

It is an arithmetic number, because the mean of its divisors is an integer number (2401245).

Almost surely, 2104745960 is an apocalyptic number.

104745960 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 104745960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192099600).

104745960 is an abundant number, since it is smaller than the sum of its proper divisors (279453240).

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

104745960 is a wasteful number, since it uses less digits than its factorization.

104745960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 104745960 is about 10234.5473764109. The cubic root of 104745960 is about 471.3886199910.

The spelling of 104745960 in words is "one hundred four million, seven hundred forty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 792 810 891 990 1080 1188 1320 1485 1620 1782 1980 2376 2939 2970 3240 3564 3960 4455 5878 5940 7128 8817 8910 11756 11880 14695 17634 17820 23512 26451 29390 32329 35268 35640 44085 52902 58780 64658 70536 79353 88170 96987 105804 117560 129316 132255 158706 161645 176340 193974 211608 238059 258632 264510 290961 317412 323290 352680 387948 396765 476118 484935 529020 581922 634824 646580 775896 793530 872883 952236 969870 1058040 1163844 1190295 1293160 1454805 1587060 1745766 1904472 1939740 2327688 2380590 2618649 2909610 3174120 3491532 3879480 4364415 4761180 5237298 5819220 6983064 8728830 9522360 10474596 11638440 13093245 17457660 20949192 26186490 34915320 52372980 104745960