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104960940 = 223572191879
BaseRepresentation
bin1100100000110…
…01001110101100
321022111120100020
412100121032230
5203332222230
614225402140
72413103400
oct620311654
9238446306
10104960940
115427a787
122b199350
131898c886
14dd23100
159334810
hex64193ac

104960940 has 144 divisors (see below), whose sum is σ = 360057600. Its totient is φ = 22716288.

The previous prime is 104960939. The next prime is 104960951. The reversal of 104960940 is 49069401.

It is a super-2 number, since 2×1049609402 = 22033597851367200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54921 + ... + 56799.

It is an arithmetic number, because the mean of its divisors is an integer number (2500400).

Almost surely, 2104960940 is an apocalyptic number.

104960940 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 104960940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180028800).

104960940 is an abundant number, since it is smaller than the sum of its proper divisors (255096660).

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

104960940 is a wasteful number, since it uses less digits than its factorization.

104960940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 104960940 is about 10245.0446558324. The cubic root of 104960940 is about 471.7108913709.

The spelling of 104960940 in words is "one hundred four million, nine hundred sixty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 49 57 60 70 76 84 95 98 105 114 133 140 147 190 196 210 228 245 266 285 294 380 399 420 490 532 570 588 665 735 798 931 980 1140 1330 1470 1596 1862 1879 1995 2660 2793 2940 3724 3758 3990 4655 5586 5637 7516 7980 9310 9395 11172 11274 13153 13965 18620 18790 22548 26306 27930 28185 35701 37580 39459 52612 55860 56370 65765 71402 78918 92071 107103 112740 131530 142804 157836 178505 184142 197295 214206 249907 263060 276213 357010 368284 394590 428412 460355 499814 535515 552426 714020 749721 789180 920710 999628 1071030 1104852 1249535 1381065 1499442 1749349 1841420 2142060 2499070 2762130 2998884 3498698 3748605 4998140 5248047 5524260 6997396 7497210 8746745 10496094 14994420 17493490 20992188 26240235 34986980 52480470 104960940