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104668590 = 23513349769
BaseRepresentation
bin1100011110100…
…01110110101110
321021221201022110
412033101312232
5203243343330
614215224450
72410445145
oct617216656
9237851273
10104668590
11540a0074
122b078126
13188b97a0
14dc8875c
1592c7db0
hex63d1dae

104668590 has 64 divisors (see below), whose sum is σ = 271656000. Its totient is φ = 25657344.

The previous prime is 104668589. The next prime is 104668591. The reversal of 104668590 is 95866401.

It is an interprime number because it is at equal distance from previous prime (104668589) and next prime (104668591).

It is a super-3 number, since 3×1046685903 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104668591) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135726 + ... + 136494.

It is an arithmetic number, because the mean of its divisors is an integer number (4244625).

Almost surely, 2104668590 is an apocalyptic number.

104668590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104668590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135828000).

104668590 is an abundant number, since it is smaller than the sum of its proper divisors (166987410).

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

104668590 is a wasteful number, since it uses less digits than its factorization.

104668590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141.

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 104668590 is about 10230.7668334294. The cubic root of 104668590 is about 471.2725285733.

The spelling of 104668590 in words is "one hundred four million, six hundred sixty-eight thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 349 390 698 769 1047 1538 1745 2094 2307 3490 3845 4537 4614 5235 7690 9074 9997 10470 11535 13611 19994 22685 23070 27222 29991 45370 49985 59982 68055 99970 136110 149955 268381 299910 536762 805143 1341905 1610286 2683810 3488953 4025715 6977906 8051430 10466859 17444765 20933718 34889530 52334295 104668590