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113874384 = 24313414451
BaseRepresentation
bin1101100100110…
…01010111010000
321221021102021210
412302121113100
5213122440014
615144420120
72551626201
oct662312720
9257242253
10113874384
1159308568
1232177640
131a7909c0
14111a35a8
159ee5859
hex6c995d0

113874384 has 80 divisors (see below), whose sum is σ = 324604224. Its totient is φ = 34176000.

The previous prime is 113874361. The next prime is 113874413. The reversal of 113874384 is 483478311.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23359 + ... + 27809.

Almost surely, 2113874384 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 113874384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162302112).

113874384 is an abundant number, since it is smaller than the sum of its proper divisors (210729840).

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

113874384 is a wasteful number, since it uses less digits than its factorization.

113874384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 4510 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 113874384 is about 10671.1941224963. The cubic root of 113874384 is about 484.7025972777.

The spelling of 113874384 in words is "one hundred thirteen million, eight hundred seventy-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 164 208 246 312 328 492 533 624 656 984 1066 1599 1968 2132 3198 4264 4451 6396 8528 8902 12792 13353 17804 25584 26706 35608 53412 57863 71216 106824 115726 173589 182491 213648 231452 347178 364982 462904 547473 694356 729964 925808 1094946 1388712 1459928 2189892 2372383 2777424 2919856 4379784 4744766 7117149 8759568 9489532 14234298 18979064 28468596 37958128 56937192 113874384