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5137506 = 23511312
BaseRepresentation
bin10011100110010001100010
3100200000100000
4103212101202
52303400011
6302040430
761445103
oct23462142
910600300
105137506
112999980
121879116
1310ab55a
1497a3aa
156b7356
hex4e6462

5137506 has 72 divisors (see below), whose sum is σ = 13012272. Its totient is φ = 1506600.

The previous prime is 5137499. The next prime is 5137507. The reversal of 5137506 is 6057315.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5137506.

It is not an unprimeable number, because it can be changed into a prime (5137507) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165711 + ... + 165741.

It is an arithmetic number, because the mean of its divisors is an integer number (180726).

Almost surely, 25137506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5137506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6506136).

5137506 is an abundant number, since it is smaller than the sum of its proper divisors (7874766).

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

5137506 is a wasteful number, since it uses less digits than its factorization.

5137506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 5137506 is about 2266.6067148934. The cubic root of 5137506 is about 172.5509868184.

The spelling of 5137506 in words is "five million, one hundred thirty-seven thousand, five hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 81 93 99 162 186 198 243 279 297 341 486 558 594 682 837 891 961 1023 1674 1782 1922 2046 2511 2673 2883 3069 5022 5346 5766 6138 7533 8649 9207 10571 15066 17298 18414 21142 25947 27621 31713 51894 55242 63426 77841 82863 95139 155682 165726 190278 233523 285417 467046 570834 856251 1712502 2568753 5137506