Search a number
-
+
137069280 = 2533531729
BaseRepresentation
bin10000010101110…
…00001011100000
3100112220211201000
420022320023200
5240042204110
621333512000
73253032615
oct1012701340
9315824630
10137069280
11704101a7
1239aa2600
13225223aa
14142c050c
15c0781c0
hex82b82e0

137069280 has 96 divisors (see below), whose sum is σ = 479757600. Its totient is φ = 36550656.

The previous prime is 137069279. The next prime is 137069293. The reversal of 137069280 is 82960731.

137069280 is a `hidden beast` number, since 1 + 370 + 6 + 9 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11545 + ... + 20184.

It is an arithmetic number, because the mean of its divisors is an integer number (4997475).

Almost surely, 2137069280 is an apocalyptic number.

137069280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137069280 is an abundant number, since it is smaller than the sum of its proper divisors (342688320).

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

137069280 is a wasteful number, since it uses less digits than its factorization.

137069280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31753 (or 31739 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 137069280 is about 11707.6590315912. The cubic root of 137069280 is about 515.6005561966.

The spelling of 137069280 in words is "one hundred thirty-seven million, sixty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 31729 63458 95187 126916 158645 190374 253832 285561 317290 380748 475935 507664 571122 634580 761496 856683 951870 1015328 1142244 1269160 1427805 1522992 1713366 1903740 2284488 2538320 2855610 3045984 3426732 3807480 4283415 4568976 5076640 5711220 6853464 7614960 8566830 9137952 11422440 13706928 15229920 17133660 22844880 27413856 34267320 45689760 68534640 137069280