Search a number
-
+
137731338 = 23247712293
BaseRepresentation
bin10000011010110…
…01110100001010
3100121011110212200
420031121310022
5240224400323
621400021030
73261461043
oct1015316412
9317143780
10137731338
1170822658
123a161776
13226c4844
14144138ca
15c159443
hex8359d0a

137731338 has 48 divisors (see below), whose sum is σ = 309194496. Its totient is φ = 44281440.

The previous prime is 137731309. The next prime is 137731339. The reversal of 137731338 is 833137731.

It is not an unprimeable number, because it can be changed into a prime (137731339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58920 + ... + 61212.

It is an arithmetic number, because the mean of its divisors is an integer number (6441552).

Almost surely, 2137731338 is an apocalyptic number.

137731338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

137731338 is an abundant number, since it is smaller than the sum of its proper divisors (171463158).

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

137731338 is a wasteful number, since it uses less digits than its factorization.

137731338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419 (or 2416 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 137731338 is about 11735.8995394473. The cubic root of 137731338 is about 516.4293568986.

The spelling of 137731338 in words is "one hundred thirty-seven million, seven hundred thirty-one thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 47 71 94 141 142 213 282 423 426 639 846 1278 2293 3337 4586 6674 6879 10011 13758 20022 20637 30033 41274 60066 107771 162803 215542 323313 325606 488409 646626 969939 976818 1465227 1939878 2930454 7651741 15303482 22955223 45910446 68865669 137731338