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104943680 = 2653171149
BaseRepresentation
bin1100100000101…
…01000001000000
321022110200122222
412100111001000
5203331144210
614225150212
72413002152
oct620250100
9238420588
10104943680
1154268816
122b18b368
1318984a6a
14dd1aad2
15932e655
hex6415040

104943680 has 112 divisors (see below), whose sum is σ = 263347200. Its totient is φ = 39782400.

The previous prime is 104943677. The next prime is 104943697. The reversal of 104943680 is 86349401.

It is a super-2 number, since 2×1049436802 = 22026351943884800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104943680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 704246 + ... + 704394.

Almost surely, 2104943680 is an apocalyptic number.

104943680 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 104943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131673600).

104943680 is an abundant number, since it is smaller than the sum of its proper divisors (158403520).

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

104943680 is a wasteful number, since it uses less digits than its factorization.

104943680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 104943680 is about 10244.2022627435. The cubic root of 104943680 is about 471.6850335730.

The spelling of 104943680 in words is "one hundred four million, nine hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 71 80 124 142 149 155 160 248 284 298 310 320 355 496 568 596 620 710 745 992 1136 1192 1240 1420 1490 1984 2201 2272 2384 2480 2840 2980 4402 4544 4619 4768 4960 5680 5960 8804 9238 9536 9920 10579 11005 11360 11920 17608 18476 21158 22010 22720 23095 23840 35216 36952 42316 44020 46190 47680 52895 70432 73904 84632 88040 92380 105790 140864 147808 169264 176080 184760 211580 295616 327949 338528 352160 369520 423160 655898 677056 704320 739040 846320 1311796 1478080 1639745 1692640 2623592 3279490 3385280 5247184 6558980 10494368 13117960 20988736 26235920 52471840 104943680