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5135790 = 2351179197
BaseRepresentation
bin10011100101110110101110
3100122220222110
4103211312232
52303321130
6302024450
761440102
oct23456656
910586873
105135790
112998660
121878126
1310aa83a
14979902
156b6ab0
hex4e5dae

5135790 has 64 divisors (see below), whose sum is σ = 13685760. Its totient is φ = 1223040.

The previous prime is 5135789. The next prime is 5135807. The reversal of 5135790 is 975315.

It is a happy number.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25972 + ... + 26168.

It is an arithmetic number, because the mean of its divisors is an integer number (213840).

Almost surely, 25135790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5135790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6842880).

5135790 is an abundant number, since it is smaller than the sum of its proper divisors (8549970).

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

5135790 is a wasteful number, since it uses less digits than its factorization.

5135790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297.

The product of its (nonzero) digits is 4725, while the sum is 30.

The square root of 5135790 is about 2266.2281438549. The cubic root of 5135790 is about 172.5317731853.

The spelling of 5135790 in words is "five million, one hundred thirty-five thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 79 110 158 165 197 237 330 394 395 474 591 790 869 985 1182 1185 1738 1970 2167 2370 2607 2955 4334 4345 5214 5910 6501 8690 10835 13002 13035 15563 21670 26070 31126 32505 46689 65010 77815 93378 155630 171193 233445 342386 466890 513579 855965 1027158 1711930 2567895 5135790