Search a number
-
+
5371300 = 22521119257
BaseRepresentation
bin10100011111010110100100
3101002220001001
4110133112210
52333340200
6311043044
763440524
oct24372644
911086031
105371300
1130395a0
121970484
131160aac
149db684
1571176a
hex51f5a4

5371300 has 72 divisors (see below), whose sum is σ = 13436640. Its totient is φ = 1843200.

The previous prime is 5371297. The next prime is 5371321. The reversal of 5371300 is 31735.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 20772 + ... + 21028.

It is an arithmetic number, because the mean of its divisors is an integer number (186620).

Almost surely, 25371300 is an apocalyptic number.

5371300 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 5371300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6718320).

5371300 is an abundant number, since it is smaller than the sum of its proper divisors (8065340).

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

5371300 is a wasteful number, since it uses less digits than its factorization.

5371300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 19.

The square root of 5371300 is about 2317.6065239812. The cubic root of 5371300 is about 175.1296997687.

It can be divided in two parts, 5371 and 300, that added together give a triangular number (5671 = T106).

The spelling of 5371300 in words is "five million, three hundred seventy-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 257 275 380 418 475 514 550 836 950 1028 1045 1100 1285 1900 2090 2570 2827 4180 4883 5140 5225 5654 6425 9766 10450 11308 12850 14135 19532 20900 24415 25700 28270 48830 53713 56540 70675 97660 107426 122075 141350 214852 244150 268565 282700 488300 537130 1074260 1342825 2685650 5371300