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104652660 = 22357673719
BaseRepresentation
bin1100011110011…
…01111101110100
321021220220110110
412033031331310
5203242341120
614215023020
72410350540
oct617157564
9237826413
10104652660
115408a102
122b06aa70
13188b2468
14dc82a20
1592c32e0
hex63cdf74

104652660 has 96 divisors (see below), whose sum is σ = 339978240. Its totient is φ = 23557248.

The previous prime is 104652631. The next prime is 104652679. The reversal of 104652660 is 66256401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26281 + ... + 29999.

It is an arithmetic number, because the mean of its divisors is an integer number (3541440).

Almost surely, 2104652660 is an apocalyptic number.

104652660 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 104652660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169989120).

104652660 is an abundant number, since it is smaller than the sum of its proper divisors (235325580).

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

104652660 is a wasteful number, since it uses less digits than its factorization.

104652660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 104652660 is about 10229.9882697880. The cubic root of 104652660 is about 471.2486189735.

The spelling of 104652660 in words is "one hundred four million, six hundred fifty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 67 70 84 105 134 140 201 210 268 335 402 420 469 670 804 938 1005 1340 1407 1876 2010 2345 2814 3719 4020 4690 5628 7035 7438 9380 11157 14070 14876 18595 22314 26033 28140 37190 44628 52066 55785 74380 78099 104132 111570 130165 156198 223140 249173 260330 312396 390495 498346 520660 747519 780990 996692 1245865 1495038 1561980 1744211 2491730 2990076 3488422 3737595 4983460 5232633 6976844 7475190 8721055 10465266 14950380 17442110 20930532 26163165 34884220 52326330 104652660