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137203590 = 2359747149
BaseRepresentation
bin10000010110110…
…00111110000110
3100120011122221110
420023120332012
5240111003330
621340425450
73254132316
oct1013307606
9316148843
10137203590
11704a20a7
1239b48286
132256b574
1414317446
15c0a2db0
hex82d8f86

137203590 has 32 divisors (see below), whose sum is σ = 332690400. Its totient is φ = 36209664.

The previous prime is 137203531. The next prime is 137203601. The reversal of 137203590 is 95302731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20665 + ... + 26484.

It is an arithmetic number, because the mean of its divisors is an integer number (10396575).

Almost surely, 2137203590 is an apocalyptic number.

137203590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137203590 is an abundant number, since it is smaller than the sum of its proper divisors (195486810).

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

137203590 is a wasteful number, since it uses less digits than its factorization.

137203590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47256.

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 137203590 is about 11713.3936158570. The cubic root of 137203590 is about 515.7689082987.

The spelling of 137203590 in words is "one hundred thirty-seven million, two hundred three thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 97 194 291 485 582 970 1455 2910 47149 94298 141447 235745 282894 471490 707235 1414470 4573453 9146906 13720359 22867265 27440718 45734530 68601795 137203590