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5135616 = 2833743
BaseRepresentation
bin10011100101110100000000
3100122220202000
4103211310000
52303314431
6302024000
761436433
oct23456400
910586660
105135616
112998512
121878000
1310aa735
1497981a
156b69e6
hex4e5d00

5135616 has 72 divisors (see below), whose sum is σ = 15207360. Its totient is φ = 1709568.

The previous prime is 5135609. The next prime is 5135621. The reversal of 5135616 is 6165315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 5135616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6541 + ... + 7283.

Almost surely, 25135616 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 5135616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603680).

5135616 is an abundant number, since it is smaller than the sum of its proper divisors (10071744).

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

5135616 is an equidigital number, since it uses as much as digits as its factorization.

5135616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 748 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 5135616 is about 2266.1897537497. The cubic root of 5135616 is about 172.5298247108.

The spelling of 5135616 in words is "five million, one hundred thirty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 743 768 864 1152 1486 1728 2229 2304 2972 3456 4458 5944 6687 6912 8916 11888 13374 17832 20061 23776 26748 35664 40122 47552 53496 71328 80244 95104 106992 142656 160488 190208 213984 285312 320976 427968 570624 641952 855936 1283904 1711872 2567808 5135616