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113667540 = 223571272131
BaseRepresentation
bin1101100011001…
…10110111010100
321220212220112220
412301212313110
5213044330130
615140142340
72550105150
oct661466724
9256786486
10113667540
1159187118
12320979b0
131a71a7cc
141114c060
159ea4410
hex6c66dd4

113667540 has 96 divisors (see below), whose sum is σ = 366772224. Its totient is φ = 25764480.

The previous prime is 113667527. The next prime is 113667553. The reversal of 113667540 is 45766311.

It is an interprime number because it is at equal distance from previous prime (113667527) and next prime (113667553).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52275 + ... + 54405.

It is an arithmetic number, because the mean of its divisors is an integer number (3820544).

Almost surely, 2113667540 is an apocalyptic number.

113667540 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 113667540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183386112).

113667540 is an abundant number, since it is smaller than the sum of its proper divisors (253104684).

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

113667540 is a wasteful number, since it uses less digits than its factorization.

113667540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 113667540 is about 10661.4980185713. The cubic root of 113667540 is about 484.4089444959.

The spelling of 113667540 in words is "one hundred thirteen million, six hundred sixty-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 127 140 210 254 381 420 508 635 762 889 1270 1524 1778 1905 2131 2540 2667 3556 3810 4262 4445 5334 6393 7620 8524 8890 10655 10668 12786 13335 14917 17780 21310 25572 26670 29834 31965 42620 44751 53340 59668 63930 74585 89502 127860 149170 179004 223755 270637 298340 447510 541274 811911 895020 1082548 1353185 1623822 1894459 2706370 3247644 3788918 4059555 5412740 5683377 7577836 8119110 9472295 11366754 16238220 18944590 22733508 28416885 37889180 56833770 113667540