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104151636 = 22332321823
BaseRepresentation
bin1100011010100…
…11101001010100
321020222110012000
412031103221110
5203130323021
614200155300
72403163041
oct615235124
9236873160
10104151636
1153877736
122aa68b30
13187683b4
14db921c8
159224b26
hex6353a54

104151636 has 72 divisors (see below), whose sum is σ = 282428160. Its totient is φ = 33189552.

The previous prime is 104151631. The next prime is 104151653. The reversal of 104151636 is 636151401.

104151636 is a `hidden beast` number, since 10 + 4 + 15 + 1 + 636 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104151631) 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 23 ways as a sum of consecutive naturals, for example, 56221 + ... + 58043.

Almost surely, 2104151636 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 104151636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141214080).

104151636 is an abundant number, since it is smaller than the sum of its proper divisors (178276524).

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

104151636 is a wasteful number, since it uses less digits than its factorization.

104151636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 104151636 is about 10205.4708857553. The cubic root of 104151636 is about 470.4953823137.

The spelling of 104151636 in words is "one hundred four million, one hundred fifty-one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 529 621 828 1058 1242 1587 1823 2116 2484 3174 3646 4761 5469 6348 7292 9522 10938 14283 16407 19044 21876 28566 32814 41929 49221 57132 65628 83858 98442 125787 167716 196884 251574 377361 503148 754722 964367 1132083 1509444 1928734 2264166 2893101 3857468 4528332 5786202 8679303 11572404 17358606 26037909 34717212 52075818 104151636