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5120208 = 243231237
BaseRepresentation
bin10011100010000011010000
3100122010121100
4103202003100
52302321313
6301424400
761343502
oct23420320
910563540
105120208
112987985
12186b100
1310a3712
14973d72
156b2173
hex4e20d0

5120208 has 90 divisors (see below), whose sum is σ = 15206802. Its totient is φ = 1607040.

The previous prime is 5120201. The next prime is 5120221. The reversal of 5120208 is 8020215.

It can be written as a sum of positive squares in only one way, i.e., 4981824 + 138384 = 2232^2 + 372^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5120201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 138366 + ... + 138402.

Almost surely, 25120208 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 5120208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603401).

5120208 is an abundant number, since it is smaller than the sum of its proper divisors (10086594).

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

5120208 is a wasteful number, since it uses less digits than its factorization.

5120208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5120208 is about 2262.7876612709. The cubic root of 5120208 is about 172.3571091419.

The spelling of 5120208 in words is "five million, one hundred twenty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 37 48 62 72 74 93 111 124 144 148 186 222 248 279 296 333 372 444 496 558 592 666 744 888 961 1116 1147 1332 1488 1776 1922 2232 2294 2664 2883 3441 3844 4464 4588 5328 5766 6882 7688 8649 9176 10323 11532 13764 15376 17298 18352 20646 23064 27528 34596 35557 41292 46128 55056 69192 71114 82584 106671 138384 142228 165168 213342 284456 320013 426684 568912 640026 853368 1280052 1706736 2560104 5120208