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104384420 = 22571761719
BaseRepresentation
bin1100011100011…
…00011110100100
321021102021111122
412032030132210
5203210300140
614205153112
72405152520
oct616143644
9237367448
10104384420
1153a16618
122ab5b798
131881a33a
14dc12d80
15926dab5
hex638c7a4

104384420 has 96 divisors (see below), whose sum is σ = 269982720. Its totient is φ = 33085440.

The previous prime is 104384417. The next prime is 104384429. The reversal of 104384420 is 24483401.

It is a super-2 number, since 2×1043844202 = 21792214277472800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104384420.

It is not an unprimeable number, because it can be changed into a prime (104384429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144821 + ... + 145539.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2104384420 is an apocalyptic number.

104384420 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 104384420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

104384420 is an abundant number, since it is smaller than the sum of its proper divisors (165598300).

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

104384420 is a wasteful number, since it uses less digits than its factorization.

104384420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 104384420 is about 10216.8693835245. The cubic root of 104384420 is about 470.8456482191.

The spelling of 104384420 in words is "one hundred four million, three hundred eighty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 61 68 70 85 119 122 140 170 238 244 305 340 427 476 595 610 719 854 1037 1190 1220 1438 1708 2074 2135 2380 2876 3595 4148 4270 5033 5185 7190 7259 8540 10066 10370 12223 14380 14518 20132 20740 24446 25165 29036 36295 43859 48892 50330 61115 72590 85561 87718 100660 122230 145180 171122 175436 219295 244460 307013 342244 427805 438590 614026 745603 855610 877180 1228052 1491206 1535065 1711220 2982412 3070130 3728015 5219221 6140260 7456030 10438442 14912060 20876884 26096105 52192210 104384420