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137404240 = 2451717553
BaseRepresentation
bin10000011000010…
…01111101010000
3100120112212011221
420030021331100
5240133413430
621345014424
73255626311
oct1014117520
9316485157
10137404240
1170619926
123a024414
132260b9ac
141436a608
15c0e257a
hex8309f50

137404240 has 20 divisors (see below), whose sum is σ = 319465044. Its totient is φ = 54961664.

The previous prime is 137404237. The next prime is 137404247. The reversal of 137404240 is 42404731.

It can be written as a sum of positive squares in 2 ways, for example, as 92621376 + 44782864 = 9624^2 + 6692^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137404247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 858697 + ... + 858856.

Almost surely, 2137404240 is an apocalyptic number.

137404240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137404240 is an abundant number, since it is smaller than the sum of its proper divisors (182060804).

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

137404240 is a wasteful number, since it uses less digits than its factorization.

137404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717566 (or 1717560 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 137404240 is about 11721.9554682655. The cubic root of 137404240 is about 516.0202103335.

Adding to 137404240 its reverse (42404731), we get a palindrome (179808971).

The spelling of 137404240 in words is "one hundred thirty-seven million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1717553 3435106 6870212 8587765 13740424 17175530 27480848 34351060 68702120 137404240