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104746164 = 223194331061
BaseRepresentation
bin1100011111001…
…00110010110100
321022002122201120
412033210302310
5203303334124
614221023540
72411220255
oct617446264
9238078646
10104746164
1154143386
122b0b4bb0
1318915ba3
14dca8b2c
1592e0d79
hex63e4cb4

104746164 has 48 divisors (see below), whose sum is σ = 258108480. Its totient is φ = 32970240.

The previous prime is 104746157. The next prime is 104746177. The reversal of 104746164 is 461647401.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98194 + ... + 99254.

It is an arithmetic number, because the mean of its divisors is an integer number (5377260).

Almost surely, 2104746164 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 104746164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129054240).

104746164 is an abundant number, since it is smaller than the sum of its proper divisors (153362316).

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

104746164 is a wasteful number, since it uses less digits than its factorization.

104746164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 104746164 is about 10234.5573426504. The cubic root of 104746164 is about 471.3889260115.

The spelling of 104746164 in words is "one hundred four million, seven hundred forty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 433 866 1061 1299 1732 2122 2598 3183 4244 5196 6366 8227 12732 16454 20159 24681 32908 40318 49362 60477 80636 98724 120954 241908 459413 918826 1378239 1837652 2756478 5512956 8728847 17457694 26186541 34915388 52373082 104746164