Search a number
-
+
137242364 = 2274901513
BaseRepresentation
bin10000010111000…
…10011011111100
3100120020122010112
420023202123330
5240113223424
621341325152
73254353340
oct1013423374
9316218115
10137242364
1170519246
1239b667b8
13225830cc
1414327620
15c0ae60e
hex82e26fc

137242364 has 12 divisors (see below), whose sum is σ = 274484784. Its totient is φ = 58818144.

The previous prime is 137242351. The next prime is 137242393. The reversal of 137242364 is 463242731.

137242364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

137242364 is an admirable number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 137242364.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2450729 + ... + 2450784.

It is an arithmetic number, because the mean of its divisors is an integer number (22873732).

Almost surely, 2137242364 is an apocalyptic number.

137242364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137242364 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

137242364 is a wasteful number, since it uses less digits than its factorization.

137242364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4901524 (or 4901522 counting only the distinct ones).

The product of its digits is 24192, while the sum is 32.

The square root of 137242364 is about 11715.0486127886. The cubic root of 137242364 is about 515.8174894864.

The spelling of 137242364 in words is "one hundred thirty-seven million, two hundred forty-two thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 4901513 9803026 19606052 34310591 68621182 137242364