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137304427 = 13173311877
BaseRepresentation
bin10000010111100…
…01100101101011
3100120100210021011
420023301211223
5240122220202
621342524351
73255032311
oct1013614553
9316323234
10137304427
1170560937
1239b966b7
13225a5430
14143420b1
15c0c2bd7
hex82f196b

137304427 has 16 divisors (see below), whose sum is σ = 157120992. Its totient is φ = 118863360.

The previous prime is 137304421. The next prime is 137304439. The reversal of 137304427 is 724403731.

137304427 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 137304427 - 219 = 136780139 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137304421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72213 + ... + 74089.

It is an arithmetic number, because the mean of its divisors is an integer number (9820062).

Almost surely, 2137304427 is an apocalyptic number.

137304427 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

137304427 is a deficient number, since it is larger than the sum of its proper divisors (19816565).

137304427 is a wasteful number, since it uses less digits than its factorization.

137304427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238.

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

The square root of 137304427 is about 11717.6971713729. The cubic root of 137304427 is about 515.8952311679.

It can be divided in two parts, 137304 and 427, that added together give a palindrome (137731).

The spelling of 137304427 in words is "one hundred thirty-seven million, three hundred four thousand, four hundred twenty-seven".

Divisors: 1 13 17 221 331 1877 4303 5627 24401 31909 73151 414817 621287 8076731 10561879 137304427