Search a number
-
+
137770038 = 2337364471
BaseRepresentation
bin10000011011000…
…11010000110110
3100121020102222000
420031203100312
5240232120123
621400520130
73262011630
oct1015432066
9317212860
10137770038
117084973a
123a180046
1322709343
1414423a50
15c165b43
hex8363436

137770038 has 32 divisors (see below), whose sum is σ = 349893120. Its totient is φ = 39362760.

The previous prime is 137770037. The next prime is 137770049. The reversal of 137770038 is 830077731.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 137769984 and 137770011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137770037) 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, 181858 + ... + 182613.

It is an arithmetic number, because the mean of its divisors is an integer number (10934160).

Almost surely, 2137770038 is an apocalyptic number.

137770038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

137770038 is an abundant number, since it is smaller than the sum of its proper divisors (212123082).

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

137770038 is a wasteful number, since it uses less digits than its factorization.

137770038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364489 (or 364483 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 137770038 is about 11737.5482107636. The cubic root of 137770038 is about 516.4777214533.

The spelling of 137770038 in words is "one hundred thirty-seven million, seven hundred seventy thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 364471 728942 1093413 2186826 2551297 3280239 5102594 6560478 7653891 9840717 15307782 19681434 22961673 45923346 68885019 137770038