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104190520 = 23573789113
BaseRepresentation
bin1100011010111…
…01001000111000
321021001102112011
412031131020320
5203133044040
614201055304
72403414310
oct615351070
9237042464
10104190520
11538a3975
122aa87534
131877ccc5
14dba2440
1592313ea
hex635d238

104190520 has 128 divisors (see below), whose sum is σ = 280713600. Its totient is φ = 34062336.

The previous prime is 104190497. The next prime is 104190521. The reversal of 104190520 is 25091401.

It is a junction number, because it is equal to n+sod(n) for n = 104190491 and 104190500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104190521) 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, 921984 + ... + 922096.

It is an arithmetic number, because the mean of its divisors is an integer number (2193075).

Almost surely, 2104190520 is an apocalyptic number.

104190520 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 104190520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140356800).

104190520 is an abundant number, since it is smaller than the sum of its proper divisors (176523080).

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

104190520 is a wasteful number, since it uses less digits than its factorization.

104190520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 104190520 is about 10207.3757646126. The cubic root of 104190520 is about 470.5539266532.

The spelling of 104190520 in words is "one hundred four million, one hundred ninety thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 89 113 140 148 178 185 226 259 280 296 356 370 445 452 518 565 623 712 740 791 890 904 1036 1130 1246 1295 1480 1582 1780 2072 2260 2492 2590 3115 3164 3293 3560 3955 4181 4520 4984 5180 6230 6328 6586 7910 8362 10057 10360 12460 13172 15820 16465 16724 20114 20905 23051 24920 26344 29267 31640 32930 33448 40228 41810 46102 50285 58534 65860 70399 80456 83620 92204 100570 115255 117068 131720 140798 146335 167240 184408 201140 230510 234136 281596 292670 351995 372109 402280 461020 563192 585340 703990 744218 922040 1170680 1407980 1488436 1860545 2604763 2815960 2976872 3721090 5209526 7442180 10419052 13023815 14884360 20838104 26047630 52095260 104190520