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113114540 = 22573111499
BaseRepresentation
bin1101011110111…
…11110110101100
321212211210222102
412233133312230
5212424131130
615120234232
72542313000
oct657376654
9255753872
10113114540
11589396a0
1231a6b978
131a585ba6
1411046700
159de5645
hex6bdfdac

113114540 has 96 divisors (see below), whose sum is σ = 302400000. Its totient is φ = 35232960.

The previous prime is 113114537. The next prime is 113114609. The reversal of 113114540 is 45411311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74711 + ... + 76209.

It is an arithmetic number, because the mean of its divisors is an integer number (3150000).

Almost surely, 2113114540 is an apocalyptic number.

113114540 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 113114540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200000).

113114540 is an abundant number, since it is smaller than the sum of its proper divisors (189285460).

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

113114540 is a wasteful number, since it uses less digits than its factorization.

113114540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 113114540 is about 10635.5319566066. The cubic root of 113114540 is about 483.6221067316.

Adding to 113114540 its reverse (45411311), we get a palindrome (158525851).

It can be divided in two parts, 11311 and 4540, that added together give a palindrome (15851).

The spelling of 113114540 in words is "one hundred thirteen million, one hundred fourteen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 343 385 490 539 686 770 980 1078 1372 1499 1540 1715 2156 2695 2998 3430 3773 5390 5996 6860 7495 7546 10493 10780 14990 15092 16489 18865 20986 29980 32978 37730 41972 52465 65956 73451 75460 82445 104930 115423 146902 164890 209860 230846 293804 329780 367255 461692 514157 577115 734510 807961 1028314 1154230 1469020 1615922 2056628 2308460 2570785 3231844 4039805 5141570 5655727 8079610 10283140 11311454 16159220 22622908 28278635 56557270 113114540