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104184126 = 232171013371
BaseRepresentation
bin1100011010110…
…11100100111110
321021001002202100
412031123210332
5203132343001
614201005530
72403356544
oct615334476
9237032670
10104184126
115389a092
122aa838a6
131877a117
14db9dd94
15922e586
hex635b93e

104184126 has 48 divisors (see below), whose sum is σ = 241448688. Its totient is φ = 32352000.

The previous prime is 104184121. The next prime is 104184127. The reversal of 104184126 is 621481401.

It is a happy number.

It is a super-2 number, since 2×1041841262 = 21708664220767752, 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 104184126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104184121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29221 + ... + 32591.

It is an arithmetic number, because the mean of its divisors is an integer number (5030181).

Almost surely, 2104184126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104184126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120724344).

104184126 is an abundant number, since it is smaller than the sum of its proper divisors (137264562).

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

104184126 is a wasteful number, since it uses less digits than its factorization.

104184126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3497 (or 3494 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 104184126 is about 10207.0625549176. The cubic root of 104184126 is about 470.5443007507.

The spelling of 104184126 in words is "one hundred four million, one hundred eighty-four thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 101 102 153 202 303 306 606 909 1717 1818 3371 3434 5151 6742 10113 10302 15453 20226 30339 30906 57307 60678 114614 171921 340471 343842 515763 680942 1021413 1031526 2042826 3064239 5788007 6128478 11576014 17364021 34728042 52092063 104184126