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113614280 = 2351341732
BaseRepresentation
bin1101100010110…
…01110111001000
321220210012111022
412301121313020
5213041124110
615135052012
72546463653
oct661316710
9256705438
10113614280
11591500aa
1232071008
131a6cc4b0
141113689a
159e93755
hex6c59dc8

113614280 has 96 divisors (see below), whose sum is σ = 285926760. Its totient is φ = 40366080.

The previous prime is 113614279. The next prime is 113614283. The reversal of 113614280 is 82416311.

It is a Cunningham number, because it is equal to 106592-1.

It can be written as a sum of positive squares in 12 ways, for example, as 872356 + 112741924 = 934^2 + 10618^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (113614283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1556324 + ... + 1556396.

Almost surely, 2113614280 is an apocalyptic number.

113614280 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 113614280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142963380).

113614280 is an abundant number, since it is smaller than the sum of its proper divisors (172312480).

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

113614280 is a wasteful number, since it uses less digits than its factorization.

113614280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 113614280 is about 10658.9999530913. Note that the first 4 decimals coincide. The cubic root of 113614280 is about 484.3332745466. Note that the first 3 decimals are identical.

The spelling of 113614280 in words is "one hundred thirteen million, six hundred fourteen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 65 73 82 104 130 146 164 205 260 292 328 365 410 520 533 584 730 820 949 1066 1460 1640 1898 2132 2665 2920 2993 3796 4264 4745 5329 5330 5986 7592 9490 10658 10660 11972 14965 18980 21316 21320 23944 26645 29930 37960 38909 42632 53290 59860 69277 77818 106580 119720 138554 155636 194545 213160 218489 277108 311272 346385 389090 436978 554216 692770 778180 873956 1092445 1385540 1556360 1747912 2184890 2771080 2840357 4369780 5680714 8739560 11361428 14201785 22722856 28403570 56807140 113614280