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5145400 = 2352131979
BaseRepresentation
bin10011101000001100111000
3100200102011101
4103220030320
52304123100
6302141144
761510111
oct23501470
910612141
105145400
1129a48a7
1218817b4
1310b2020
1497d208
156b986a
hex4e8338

5145400 has 48 divisors (see below), whose sum is σ = 12889800. Its totient is φ = 1898880.

The previous prime is 5145389. The next prime is 5145403. The reversal of 5145400 is 45415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5145403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1611 + ... + 3589.

Almost surely, 25145400 is an apocalyptic number.

5145400 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 5145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6444900).

5145400 is an abundant number, since it is smaller than the sum of its proper divisors (7744400).

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

5145400 is a wasteful number, since it uses less digits than its factorization.

5145400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 5145400 is about 2268.3474160719. The cubic root of 5145400 is about 172.6393189413.

It can be divided in two parts, 51 and 45400, that added together give a triangular number (45451 = T301).

The spelling of 5145400 in words is "five million, one hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 1979 2600 3958 7916 9895 15832 19790 25727 39580 49475 51454 79160 98950 102908 128635 197900 205816 257270 395800 514540 643175 1029080 1286350 2572700 5145400