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137204700 = 223521924071
BaseRepresentation
bin10000010110110…
…01001111011100
3100120011201110120
420023121033130
5240111022300
621340434540
73254135463
oct1013311734
9316151416
10137204700
11704a2a16
1239b48a50
132256bc19
14143179da
15c0a33a0
hex82d93dc

137204700 has 72 divisors (see below), whose sum is σ = 417889920. Its totient is φ = 34660800.

The previous prime is 137204689. The next prime is 137204707. The reversal of 137204700 is 7402731.

137204700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137204707) 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, 6336 + ... + 17735.

Almost surely, 2137204700 is an apocalyptic number.

137204700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137204700 is an abundant number, since it is smaller than the sum of its proper divisors (280685220).

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

137204700 is a wasteful number, since it uses less digits than its factorization.

137204700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24107 (or 24100 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 137204700 is about 11713.4409974183. The cubic root of 137204700 is about 515.7702991805.

The spelling of 137204700 in words is "one hundred thirty-seven million, two hundred four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 24071 48142 72213 96284 120355 144426 240710 288852 361065 457349 481420 601775 722130 914698 1203550 1372047 1444260 1805325 1829396 2286745 2407100 2744094 3610650 4573490 5488188 6860235 7221300 9146980 11433725 13720470 22867450 27440940 34301175 45734900 68602350 137204700