Search a number
-
+
137649936 = 24310726801
BaseRepresentation
bin10000011010001…
…01111100010000
3100121000100012210
420031011330100
5240214244221
621354152120
73261001524
oct1015057420
9317010183
10137649936
1170777486
123a122640
1322696788
14143d1d84
15c140276
hex8345f10

137649936 has 40 divisors (see below), whose sum is σ = 358932384. Its totient is φ = 45452800.

The previous prime is 137649881. The next prime is 137649937. The reversal of 137649936 is 639946731.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (137649937) 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 7 ways as a sum of consecutive naturals, for example, 8265 + ... + 18536.

Almost surely, 2137649936 is an apocalyptic number.

137649936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137649936 is an abundant number, since it is smaller than the sum of its proper divisors (221282448).

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

137649936 is a wasteful number, since it uses less digits than its factorization.

137649936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26919 (or 26913 counting only the distinct ones).

The product of its digits is 734832, while the sum is 48.

The square root of 137649936 is about 11732.4309501484. The cubic root of 137649936 is about 516.3275967916.

The spelling of 137649936 in words is "one hundred thirty-seven million, six hundred forty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1284 1712 2568 5136 26801 53602 80403 107204 160806 214408 321612 428816 643224 1286448 2867707 5735414 8603121 11470828 17206242 22941656 34412484 45883312 68824968 137649936