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45130176 = 2633721341
BaseRepresentation
bin1010110000101…
…0000111000000
310010220211222000
42230022013000
543023131201
64251144000
71055412600
oct254120700
9103824860
1045130176
1123524a73
1213145000
139471960
145dcac00
153e66d86
hex2b0a1c0

45130176 has 336 divisors, whose sum is σ = 170261280. Its totient is φ = 11612160.

The previous prime is 45130159. The next prime is 45130181. The reversal of 45130176 is 67103154.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100716 + ... + 1100756.

It is an arithmetic number, because the mean of its divisors is an integer number (506730).

Almost surely, 245130176 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 45130176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85130640).

45130176 is an abundant number, since it is smaller than the sum of its proper divisors (125131104).

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

45130176 is a wasteful number, since it uses less digits than its factorization.

45130176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 45130176 is about 6717.8996717724. The cubic root of 45130176 is about 356.0319796210.

The spelling of 45130176 in words is "forty-five million, one hundred thirty thousand, one hundred seventy-six".