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137710248 = 23313597481
BaseRepresentation
bin10000011010101…
…00101010101000
3100121010101221120
420031110222220
5240223211443
621355335240
73261342414
oct1015245250
9317111846
10137710248
1170808825
123a151520
13226b8070
1414409d44
15c153083
hex8354aa8

137710248 has 64 divisors (see below), whose sum is σ = 377092800. Its totient is φ = 41648640.

The previous prime is 137710247. The next prime is 137710283. The reversal of 137710248 is 842017731.

It is a happy number.

It is a super-2 number, since 2×1377102482 = 37928224808443008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137710247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14668 + ... + 22148.

It is an arithmetic number, because the mean of its divisors is an integer number (5892075).

Almost surely, 2137710248 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 137710248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188546400).

137710248 is an abundant number, since it is smaller than the sum of its proper divisors (239382552).

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

137710248 is a wasteful number, since it uses less digits than its factorization.

137710248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7562 (or 7558 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 137710248 is about 11735.0009799744. Note that the first 3 decimals coincide. The cubic root of 137710248 is about 516.4029962768.

Adding to 137710248 its reverse (842017731), we get a palindrome (979727979).

The spelling of 137710248 in words is "one hundred thirty-seven million, seven hundred ten thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 59 78 104 118 156 177 236 312 354 472 708 767 1416 1534 2301 3068 4602 6136 7481 9204 14962 18408 22443 29924 44886 59848 89772 97253 179544 194506 291759 389012 441379 583518 778024 882758 1167036 1324137 1765516 2334072 2648274 3531032 5296548 5737927 10593096 11475854 17213781 22951708 34427562 45903416 68855124 137710248