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137406412 = 2211132291049
BaseRepresentation
bin10000011000010…
…10011111001100
3100120112222011101
420030022133030
5240134001122
621345032444
73255635533
oct1014123714
9316488141
10137406412
1170620520
123a025724
132260c990
141436b31a
15c0e3027
hex830a7cc

137406412 has 48 divisors (see below), whose sum is σ = 284004000. Its totient is φ = 57346560.

The previous prime is 137406403. The next prime is 137406421. The reversal of 137406412 is 214604731.

It is an interprime number because it is at equal distance from previous prime (137406403) and next prime (137406421).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130464 + ... + 131512.

It is an arithmetic number, because the mean of its divisors is an integer number (5916750).

Almost surely, 2137406412 is an apocalyptic number.

It is an amenable number.

137406412 is an abundant number, since it is smaller than the sum of its proper divisors (146597588).

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

137406412 is a wasteful number, since it uses less digits than its factorization.

137406412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 137406412 is about 11722.0481145575. The cubic root of 137406412 is about 516.0229292938.

The spelling of 137406412 in words is "one hundred thirty-seven million, four hundred six thousand, four hundred twelve".

Divisors: 1 2 4 11 13 22 26 44 52 143 229 286 458 572 916 1049 2098 2519 2977 4196 5038 5954 10076 11539 11908 13637 23078 27274 32747 46156 54548 65494 130988 150007 240221 300014 480442 600028 960884 2642431 3122873 5284862 6245746 10569724 12491492 34351603 68703206 137406412