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137303280 = 24325190699
BaseRepresentation
bin10000010111100…
…01010011110000
3100120100201200200
420023301103300
5240122201110
621342515200
73255026052
oct1013612360
9316321620
10137303280
117055aa94
1239b95b00
13225a4a5a
14143418d2
15c0c26c0
hex82f14f0

137303280 has 60 divisors (see below), whose sum is σ = 461112600. Its totient is φ = 36614016.

The previous prime is 137303273. The next prime is 137303281. The reversal of 137303280 is 82303731.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137303281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94630 + ... + 96069.

It is an arithmetic number, because the mean of its divisors is an integer number (7685210).

Almost surely, 2137303280 is an apocalyptic number.

137303280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137303280 is an abundant number, since it is smaller than the sum of its proper divisors (323809320).

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

137303280 is a wasteful number, since it uses less digits than its factorization.

137303280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190718 (or 190709 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 137303280 is about 11717.6482282069. The cubic root of 137303280 is about 515.8937946192.

The spelling of 137303280 in words is "one hundred thirty-seven million, three hundred three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 190699 381398 572097 762796 953495 1144194 1525592 1716291 1906990 2288388 2860485 3051184 3432582 3813980 4576776 5720970 6865164 7627960 8581455 9153552 11441940 13730328 15255920 17162910 22883880 27460656 34325820 45767760 68651640 137303280