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104731640 = 23513317389
BaseRepresentation
bin1100011111000…
…01001111111000
321022001220210122
412033201033320
5203302403030
614220432412
72411130026
oct617411770
9238056718
10104731640
1154133482
122b0a8708
131890c3b0
14dca3716
1592db8e5
hex63e13f8

104731640 has 128 divisors (see below), whose sum is σ = 268531200. Its totient is φ = 36495360.

The previous prime is 104731621. The next prime is 104731661. The reversal of 104731640 is 46137401.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1176716 + ... + 1176804.

It is an arithmetic number, because the mean of its divisors is an integer number (2097900).

Almost surely, 2104731640 is an apocalyptic number.

104731640 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 104731640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134265600).

104731640 is an abundant number, since it is smaller than the sum of its proper divisors (163799560).

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

104731640 is a wasteful number, since it uses less digits than its factorization.

104731640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 104731640 is about 10233.8477612284. The cubic root of 104731640 is about 471.3671375629.

The spelling of 104731640 in words is "one hundred four million, seven hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 73 89 104 124 130 146 155 178 248 260 292 310 356 365 403 445 520 584 620 712 730 806 890 949 1157 1240 1460 1612 1780 1898 2015 2263 2314 2759 2920 3224 3560 3796 4030 4526 4628 4745 5518 5785 6497 7592 8060 9052 9256 9490 11036 11315 11570 12994 13795 16120 18104 18980 22072 22630 23140 25988 27590 29419 32485 35867 37960 45260 46280 51976 55180 58838 64970 71734 84461 90520 110360 117676 129940 143468 147095 168922 179335 201407 235352 259880 286936 294190 337844 358670 402814 422305 588380 675688 717340 805628 844610 1007035 1176760 1434680 1611256 1689220 2014070 2618291 3378440 4028140 5236582 8056280 10473164 13091455 20946328 26182910 52365820 104731640