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131144240 = 2454139983
BaseRepresentation
bin1111101000100…
…01101000110000
3100010202211002002
413310101220300
5232033103430
621002513132
73151464503
oct764215060
9303684062
10131144240
1168033677
1237b057a8
1321229556
14135bb13a
15b7a7845
hex7d11a30

131144240 has 40 divisors (see below), whose sum is σ = 312355008. Its totient is φ = 51176960.

The previous prime is 131144201. The next prime is 131144261. The reversal of 131144240 is 42441131.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16712 + ... + 23271.

Almost surely, 2131144240 is an apocalyptic number.

131144240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131144240 is an abundant number, since it is smaller than the sum of its proper divisors (181210768).

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

131144240 is a wasteful number, since it uses less digits than its factorization.

131144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40037 (or 40031 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 131144240 is about 11451.8225623697. The cubic root of 131144240 is about 508.0616413100.

Adding to 131144240 its reverse (42441131), we get a palindrome (173585371).

The spelling of 131144240 in words is "one hundred thirty-one million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 39983 79966 159932 199915 319864 399830 639728 799660 1599320 1639303 3198640 3278606 6557212 8196515 13114424 16393030 26228848 32786060 65572120 131144240