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1337740240 = 245130112853
BaseRepresentation
bin100111110111100…
…0100101111010000
310110020012020121211
41033233010233100
510214430141430
6340424225504
745102414214
oct11757045720
93406166554
101337740240
11627135051
1231400b294
131841c0095
14c9946944
157c69772a
hex4fbc4bd0

1337740240 has 40 divisors (see below), whose sum is σ = 3112878888. Its totient is φ = 534643200.

The previous prime is 1337740231. The next prime is 1337740249. The reversal of 1337740240 is 420477331.

It is an interprime number because it is at equal distance from previous prime (1337740231) and next prime (1337740249).

It can be written as a sum of positive squares in 4 ways, for example, as 45481536 + 1292258704 = 6744^2 + 35948^2 .

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

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1337740249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97654 + ... + 110506.

Almost surely, 21337740240 is an apocalyptic number.

1337740240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1337740240 is an abundant number, since it is smaller than the sum of its proper divisors (1775138648).

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

1337740240 is a wasteful number, since it uses less digits than its factorization.

1337740240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14167 (or 14161 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 1337740240 is about 36575.1314420058. The cubic root of 1337740240 is about 1101.8536898848.

The spelling of 1337740240 in words is "one billion, three hundred thirty-seven million, seven hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1301 2602 5204 6505 10408 12853 13010 20816 25706 26020 51412 52040 64265 102824 104080 128530 205648 257060 514120 1028240 16721753 33443506 66887012 83608765 133774024 167217530 267548048 334435060 668870120 1337740240