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131394048 = 293131653
BaseRepresentation
bin1111101010011…
…10101000000000
3100011020111202020
413311032220000
5232114102143
621012121440
73153555012
oct765165000
9304214666
10131394048
1168194325
1238006280
13212b6176
14136441b2
15b806883
hex7d4ea00

131394048 has 80 divisors (see below), whose sum is σ = 353254176. Its totient is φ = 43397120.

The previous prime is 131394047. The next prime is 131394083. The reversal of 131394048 is 840493131.

It is not an unprimeable number, because it can be changed into a prime (131394047) 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, 200890 + ... + 201542.

Almost surely, 2131394048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131394048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176627088).

131394048 is an abundant number, since it is smaller than the sum of its proper divisors (221860128).

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

131394048 is an equidigital number, since it uses as much as digits as its factorization.

131394048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 131394048 is about 11462.7242835200. The cubic root of 131394048 is about 508.3840277192.

The spelling of 131394048 in words is "one hundred thirty-one million, three hundred ninety-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 256 262 384 393 512 524 653 768 786 1048 1306 1536 1572 1959 2096 2612 3144 3918 4192 5224 6288 7836 8384 10448 12576 15672 16768 20896 25152 31344 33536 41792 50304 62688 67072 83584 85543 100608 125376 167168 171086 201216 250752 256629 334336 342172 501504 513258 684344 1003008 1026516 1368688 2053032 2737376 4106064 5474752 8212128 10949504 16424256 21899008 32848512 43798016 65697024 131394048