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104214516 = 223729179239
BaseRepresentation
bin1100011011000…
…10111111110100
321021002122102220
412031202333310
5203134331031
614201402340
72403544260
oct615427764
9237078386
10104214516
115390a9aa
122aa993b0
131878abc3
14dbab0a0
159238596
hex6362ff4

104214516 has 96 divisors (see below), whose sum is σ = 290304000. Its totient is φ = 28468608.

The previous prime is 104214503. The next prime is 104214521. The reversal of 104214516 is 615412401.

It is a happy number.

It is a super-2 number, since 2×1042145162 = 21721330690228512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435925 + ... + 436163.

It is an arithmetic number, because the mean of its divisors is an integer number (3024000).

Almost surely, 2104214516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104214516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

104214516 is an abundant number, since it is smaller than the sum of its proper divisors (186089484).

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

104214516 is a wasteful number, since it uses less digits than its factorization.

104214516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 104214516 is about 10208.5511214863. The cubic root of 104214516 is about 470.5900481266.

Adding to 104214516 its reverse (615412401), we get a palindrome (719626917).

The spelling of 104214516 in words is "one hundred four million, two hundred fourteen thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 179 203 239 348 358 406 478 537 609 716 717 812 956 1074 1218 1253 1434 1673 2148 2436 2506 2868 3346 3759 5012 5019 5191 6692 6931 7518 10038 10382 13862 15036 15573 20076 20764 20793 27724 31146 36337 41586 42781 48517 62292 72674 83172 85562 97034 109011 128343 145348 145551 171124 194068 218022 256686 291102 299467 436044 513372 582204 598934 898401 1197868 1240649 1796802 2481298 3593604 3721947 4962596 7443894 8684543 14887788 17369086 26053629 34738172 52107258 104214516