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137203704 = 233211191907
BaseRepresentation
bin10000010110110…
…00111111111000
3100120011200002200
420023120333320
5240111004304
621340430200
73254132541
oct1013307770
9316150080
10137203704
11704a21a0
1239b48360
132256b631
14143174c8
15c0a2e39
hex82d8ff8

137203704 has 96 divisors (see below), whose sum is σ = 407946240. Its totient is φ = 41313600.

The previous prime is 137203691. The next prime is 137203721. The reversal of 137203704 is 407302731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150819 + ... + 151725.

It is an arithmetic number, because the mean of its divisors is an integer number (4249440).

Almost surely, 2137203704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137203704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203973120).

137203704 is an abundant number, since it is smaller than the sum of its proper divisors (270742536).

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

137203704 is a wasteful number, since it uses less digits than its factorization.

137203704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 137203704 is about 11713.3984820803. The cubic root of 137203704 is about 515.7690511463.

It can be divided in two parts, 13720 and 3704, that added together give a square (17424 = 1322).

The spelling of 137203704 in words is "one hundred thirty-seven million, two hundred three thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 191 198 264 382 396 573 764 792 907 1146 1528 1719 1814 2101 2292 2721 3438 3628 4202 4584 5442 6303 6876 7256 8163 8404 9977 10884 12606 13752 16326 16808 18909 19954 21768 25212 29931 32652 37818 39908 50424 59862 65304 75636 79816 89793 119724 151272 173237 179586 239448 346474 359172 519711 692948 718344 1039422 1385896 1559133 1905607 2078844 3118266 3811214 4157688 5716821 6236532 7622428 11433642 12473064 15244856 17150463 22867284 34300926 45734568 68601852 137203704