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104120460 = 223251135119
BaseRepresentation
bin1100011010011…
…00000010001100
321020220212102100
412031030002030
5203123323320
614155355100
72403003123
oct615140214
9236825370
10104120460
1153856274
122aa52a90
1318757152
14db84aba
15921a790
hex634c08c

104120460 has 72 divisors (see below), whose sum is σ = 318689280. Its totient is φ = 27514368.

The previous prime is 104120459. The next prime is 104120483. The reversal of 104120460 is 64021401.

It is a super-2 number, since 2×1041204602 = 21682140381223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 17781 + ... + 22899.

It is an arithmetic number, because the mean of its divisors is an integer number (4426240).

Almost surely, 2104120460 is an apocalyptic number.

104120460 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 104120460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159344640).

104120460 is an abundant number, since it is smaller than the sum of its proper divisors (214568820).

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

104120460 is a wasteful number, since it uses less digits than its factorization.

104120460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5247 (or 5242 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 104120460 is about 10203.9433553896. The cubic root of 104120460 is about 470.4484327301.

Adding to 104120460 its reverse (64021401), we get a palindrome (168141861).

The spelling of 104120460 in words is "one hundred four million, one hundred twenty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 5085 5119 6780 10170 10238 15357 20340 20476 25595 30714 46071 51190 61428 76785 92142 102380 153570 184284 230355 307140 460710 578447 921420 1156894 1735341 2313788 2892235 3470682 5206023 5784470 6941364 8676705 10412046 11568940 17353410 20824092 26030115 34706820 52060230 104120460