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104640 = 2635109
BaseRepresentation
bin11001100011000000
312022112120
4121203000
511322030
62124240
7614034
oct314300
9168476
10104640
1171688
1250680
1338823
142a1c4
1521010
hex198c0

104640 has 56 divisors (see below), whose sum is σ = 335280. Its totient is φ = 27648.

The previous prime is 104639. The next prime is 104651. The reversal of 104640 is 46401.

104640 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 906 + ... + 1014.

2104640 is an apocalyptic number.

104640 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 104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167640).

104640 is an abundant number, since it is smaller than the sum of its proper divisors (230640).

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

104640 is a wasteful number, since it uses less digits than its factorization.

104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 104640 is about 323.4810659065. The cubic root of 104640 is about 47.1229615640.

The spelling of 104640 in words is "one hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 109 120 160 192 218 240 320 327 436 480 545 654 872 960 1090 1308 1635 1744 2180 2616 3270 3488 4360 5232 6540 6976 8720 10464 13080 17440 20928 26160 34880 52320 104640