Search a number
-
+
137782962 = 23254114149
BaseRepresentation
bin10000011011001…
…10011010110010
3100121021002200200
420031212122302
5240233023322
621401100030
73262064412
oct1015463262
9317232620
10137782962
1170858419
123a187616
13227121a5
1414428642
15c1698ac
hex83666b2

137782962 has 24 divisors (see below), whose sum is σ = 299102700. Its totient is φ = 45839520.

The previous prime is 137782961. The next prime is 137782963. The reversal of 137782962 is 269287731.

It is an interprime number because it is at equal distance from previous prime (137782961) and next prime (137782963).

It can be written as a sum of positive squares in 2 ways, for example, as 131537961 + 6245001 = 11469^2 + 2499^2 .

It is not an unprimeable number, because it can be changed into a prime (137782961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2664 + ... + 16812.

Almost surely, 2137782962 is an apocalyptic number.

137782962 is an abundant number, since it is smaller than the sum of its proper divisors (161319738).

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

137782962 is a wasteful number, since it uses less digits than its factorization.

137782962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14698 (or 14695 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 137782962 is about 11738.0987387226. The cubic root of 137782962 is about 516.4938709477.

The spelling of 137782962 in words is "one hundred thirty-seven million, seven hundred eighty-two thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 18 541 1082 1623 3246 4869 9738 14149 28298 42447 84894 127341 254682 7654609 15309218 22963827 45927654 68891481 137782962