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5156900 = 2252753139
BaseRepresentation
bin10011101011000000100100
3100200222221022
4103223000210
52310010100
6302310312
761555460
oct23530044
910628838
105156900
112a02501
121888398
1310b7328
149834a0
156bce85
hex4eb024

5156900 has 72 divisors (see below), whose sum is σ = 13124160. Its totient is φ = 1722240.

The previous prime is 5156897. The next prime is 5156911. The reversal of 5156900 is 96515.

It is a super-2 number, since 2×51569002 = 53187235220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5156900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37031 + ... + 37169.

It is an arithmetic number, because the mean of its divisors is an integer number (182280).

Almost surely, 25156900 is an apocalyptic number.

5156900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5156900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562080).

5156900 is an abundant number, since it is smaller than the sum of its proper divisors (7967260).

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

5156900 is a wasteful number, since it uses less digits than its factorization.

5156900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 5156900 is about 2270.8808863523. The cubic root of 5156900 is about 172.7678398798.

The spelling of 5156900 in words is "five million, one hundred fifty-six thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 53 70 100 106 139 140 175 212 265 278 350 371 530 556 695 700 742 973 1060 1325 1390 1484 1855 1946 2650 2780 3475 3710 3892 4865 5300 6950 7367 7420 9275 9730 13900 14734 18550 19460 24325 29468 36835 37100 48650 51569 73670 97300 103138 147340 184175 206276 257845 368350 515690 736700 1031380 1289225 2578450 5156900