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104135680 = 210511432
BaseRepresentation
bin1100011010011…
…11110000000000
321020221122022001
412031033300000
5203124320210
614155553344
72403065365
oct615176000
9236848261
10104135680
1153866750
122aa5b854
131876105c
14db8a46c
15922003a
hex634fc00

104135680 has 132 divisors (see below), whose sum is σ = 278997912. Its totient is φ = 36986880.

The previous prime is 104135677. The next prime is 104135737. The reversal of 104135680 is 86531401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2421739 + ... + 2421781.

Almost surely, 2104135680 is an apocalyptic number.

104135680 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 104135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139498956).

104135680 is an abundant number, since it is smaller than the sum of its proper divisors (174862232).

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

104135680 is an equidigital number, since it uses as much as digits as its factorization.

104135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 104135680 is about 10204.6891182436. The cubic root of 104135680 is about 470.4713545019.

The spelling of 104135680 in words is "one hundred four million, one hundred thirty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 64 80 86 88 110 128 160 172 176 215 220 256 320 344 352 430 440 473 512 640 688 704 860 880 946 1024 1280 1376 1408 1720 1760 1849 1892 2365 2560 2752 2816 3440 3520 3698 3784 4730 5120 5504 5632 6880 7040 7396 7568 9245 9460 11008 11264 13760 14080 14792 15136 18490 18920 20339 22016 27520 28160 29584 30272 36980 37840 40678 44032 55040 56320 59168 60544 73960 75680 81356 101695 110080 118336 121088 147920 151360 162712 203390 220160 236672 242176 295840 302720 325424 406780 473344 484352 591680 605440 650848 813560 946688 1183360 1210880 1301696 1627120 1893376 2366720 2421760 2603392 3254240 4733440 5206784 6508480 9466880 10413568 13016960 20827136 26033920 52067840 104135680