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113276880 = 243555827
BaseRepresentation
bin1101100000001…
…11011111010000
321220011001200000
412300013133100
5212444330010
615123530000
72543560203
oct660073720
9256131600
10113276880
1158a3a662
1231b29900
131a611a52
141108993a
159e287c0
hex6c077d0

113276880 has 120 divisors (see below), whose sum is σ = 394578912. Its totient is φ = 30201984.

The previous prime is 113276861. The next prime is 113276893. The reversal of 113276880 is 88672311.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 16527 + ... + 22353.

Almost surely, 2113276880 is an apocalyptic number.

113276880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113276880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197289456).

113276880 is an abundant number, since it is smaller than the sum of its proper divisors (281302032).

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

113276880 is an equidigital number, since it uses as much as digits as its factorization.

113276880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5855 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 113276880 is about 10643.1611845354. The cubic root of 113276880 is about 483.8533581204.

The spelling of 113276880 in words is "one hundred thirteen million, two hundred seventy-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 5827 6480 9720 11654 17481 19440 23308 29135 34962 46616 52443 58270 69924 87405 93232 104886 116540 139848 157329 174810 209772 233080 262215 279696 314658 349620 419544 466160 471987 524430 629316 699240 786645 839088 943974 1048860 1258632 1398480 1415961 1573290 1887948 2097720 2359935 2517264 2831922 3146580 3775896 4195440 4719870 5663844 6293160 7079805 7551792 9439740 11327688 12586320 14159610 18879480 22655376 28319220 37758960 56638440 113276880