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104208400 = 24522347241
BaseRepresentation
bin1100011011000…
…01100000010000
321021002100001101
412031201200100
5203134132100
614201314144
72403520402
oct615414020
9237070041
10104208400
115390634a
122aa95954
131878819a
14dba8b72
15923686a
hex6361810

104208400 has 120 divisors (see below), whose sum is σ = 267911424. Its totient is φ = 38860800.

The previous prime is 104208389. The next prime is 104208413. The reversal of 104208400 is 4802401.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432280 + ... + 432520.

Almost surely, 2104208400 is an apocalyptic number.

104208400 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 104208400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133955712).

104208400 is an abundant number, since it is smaller than the sum of its proper divisors (163703024).

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

104208400 is a wasteful number, since it uses less digits than its factorization.

104208400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 104208400 is about 10208.2515642984. The cubic root of 104208400 is about 470.5808421633.

The spelling of 104208400 in words is "one hundred four million, two hundred eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 47 50 80 92 94 100 115 184 188 200 230 235 241 368 376 400 460 470 482 575 752 920 940 964 1081 1150 1175 1205 1840 1880 1928 2162 2300 2350 2410 3760 3856 4324 4600 4700 4820 5405 5543 6025 8648 9200 9400 9640 10810 11086 11327 12050 17296 18800 19280 21620 22172 22654 24100 27025 27715 43240 44344 45308 48200 54050 55430 56635 86480 88688 90616 96400 108100 110860 113270 138575 181232 216200 221720 226540 260521 277150 283175 432400 443440 453080 521042 554300 566350 906160 1042084 1108600 1132700 1302605 2084168 2217200 2265400 2605210 4168336 4530800 5210420 6513025 10420840 13026050 20841680 26052100 52104200 104208400