Search a number
-
+
137704160 = 2551178241
BaseRepresentation
bin10000011010100…
…11001011100000
3100121010002121002
420031103023200
5240223013120
621355251132
73261315566
oct1015231340
9317102532
10137704160
11708041a0
123a149aa8
13226b5369
1414407a36
15c151375
hex83532e0

137704160 has 48 divisors (see below), whose sum is σ = 354905712. Its totient is φ = 50073600.

The previous prime is 137704129. The next prime is 137704211. The reversal of 137704160 is 61407731.

It is a congruent number.

It is an unprimeable number.

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, 37361 + ... + 40880.

It is an arithmetic number, because the mean of its divisors is an integer number (7393869).

Almost surely, 2137704160 is an apocalyptic number.

137704160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137704160 is an abundant number, since it is smaller than the sum of its proper divisors (217201552).

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

137704160 is a wasteful number, since it uses less digits than its factorization.

137704160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78267 (or 78259 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 137704160 is about 11734.7415821568. The cubic root of 137704160 is about 516.3953863185.

The spelling of 137704160 in words is "one hundred thirty-seven million, seven hundred four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 78241 156482 312964 391205 625928 782410 860651 1251856 1564820 1721302 2503712 3129640 3442604 4303255 6259280 6885208 8606510 12518560 13770416 17213020 27540832 34426040 68852080 137704160