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56161200 = 24352172753
BaseRepresentation
bin1101011000111…
…1001110110000
310220200021200110
43112033032300
5103334124300
65323421320
71251235164
oct326171660
9126607613
1056161200
1129779817
1216984840
13b8348a4
14765cca4
154de5550
hex358f3b0

56161200 has 120 divisors (see below), whose sum is σ = 190554768. Its totient is φ = 14090240.

The previous prime is 56161199. The next prime is 56161201. The reversal of 56161200 is 216165.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56161199) and next prime (56161201).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (56161201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19024 + ... + 21776.

Almost surely, 256161200 is an apocalyptic number.

56161200 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 56161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95277384).

56161200 is an abundant number, since it is smaller than the sum of its proper divisors (134393568).

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

56161200 is a wasteful number, since it uses less digits than its factorization.

56161200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 56161200 is about 7494.0776617273. The cubic root of 56161200 is about 382.9529854781.

Adding to 56161200 its reverse (216165), we get a palindrome (56377365).

The spelling of 56161200 in words is "fifty-six million, one hundred sixty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 136 150 170 200 204 240 255 272 300 340 400 408 425 510 600 680 816 850 1020 1200 1275 1360 1700 2040 2550 2753 3400 4080 5100 5506 6800 8259 10200 11012 13765 16518 20400 22024 27530 33036 41295 44048 46801 55060 66072 68825 82590 93602 110120 132144 137650 140403 165180 187204 206475 220240 234005 275300 280806 330360 374408 412950 468010 550600 561612 660720 702015 748816 825900 936020 1101200 1123224 1170025 1404030 1651800 1872040 2246448 2340050 2808060 3303600 3510075 3744080 4680100 5616120 7020150 9360200 11232240 14040300 18720400 28080600 56161200