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131333440 = 265758631
BaseRepresentation
bin1111101001111…
…11110101000000
3100011010102121111
413310333311000
5232110132230
621010533104
73153213220
oct764776500
9304112544
10131333440
1168152837
1237b97194
13212946c4
141362a080
15b7e392a
hex7d3fd40

131333440 has 56 divisors (see below), whose sum is σ = 357420672. Its totient is φ = 45027840.

The previous prime is 131333437. The next prime is 131333443. The reversal of 131333440 is 44333131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131333437) and next prime (131333443).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131333443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27076 + ... + 31555.

It is an arithmetic number, because the mean of its divisors is an integer number (6382512).

Almost surely, 2131333440 is an apocalyptic number.

131333440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131333440 is an abundant number, since it is smaller than the sum of its proper divisors (226087232).

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

131333440 is an equidigital number, since it uses as much as digits as its factorization.

131333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58655 (or 58645 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 131333440 is about 11460.0802789509. The cubic root of 131333440 is about 508.3058484348.

Adding to 131333440 its reverse (44333131), we get a palindrome (175666571).

The spelling of 131333440 in words is "one hundred thirty-one million, three hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 58631 117262 234524 293155 410417 469048 586310 820834 938096 1172620 1641668 1876192 2052085 2345240 3283336 3752384 4104170 4690480 6566672 8208340 9380960 13133344 16416680 18761920 26266688 32833360 65666720 131333440