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113143040 = 285372389
BaseRepresentation
bin1101011111001…
…10110100000000
321212220021001222
412233212310000
5212431034130
615121014212
72542462043
oct657466400
9255807058
10113143040
115895904a
1231a84368
131a595b5a
1411052c5a
159dedce5
hex6be6d00

113143040 has 72 divisors (see below), whose sum is σ = 278454120. Its totient is φ = 44015616.

The previous prime is 113143039. The next prime is 113143057. The reversal of 113143040 is 40341311.

It can be written as a sum of positive squares in 4 ways, for example, as 17572864 + 95570176 = 4192^2 + 9776^2 .

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 7 ways as a sum of consecutive naturals, for example, 46166 + ... + 48554.

Almost surely, 2113143040 is an apocalyptic number.

113143040 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 113143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139227060).

113143040 is an abundant number, since it is smaller than the sum of its proper divisors (165311080).

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

113143040 is an equidigital number, since it uses as much as digits as its factorization.

113143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 113143040 is about 10636.8717205765. The cubic root of 113143040 is about 483.6627206456.

Adding to 113143040 its reverse (40341311), we get a palindrome (153484351).

The spelling of 113143040 in words is "one hundred thirteen million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 592 640 740 1184 1280 1480 2368 2389 2960 4736 4778 5920 9472 9556 11840 11945 19112 23680 23890 38224 47360 47780 76448 88393 95560 152896 176786 191120 305792 353572 382240 441965 611584 707144 764480 883930 1414288 1528960 1767860 2828576 3057920 3535720 5657152 7071440 11314304 14142880 22628608 28285760 56571520 113143040