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5731380 = 22325171873
BaseRepresentation
bin10101110111010000110100
3101210011222100
4111313100310
52431401010
6322502100
766500364
oct25672064
911704870
105731380
113265086
121b04930
131258965
14a929a4
157832c0
hex577434

5731380 has 72 divisors (see below), whose sum is σ = 18417672. Its totient is φ = 1437696.

The previous prime is 5731361. The next prime is 5731391. The reversal of 5731380 is 831375.

5731380 is a `hidden beast` number, since 573 + 13 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 142884 + 5588496 = 378^2 + 2364^2 .

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, 2124 + ... + 3996.

It is an arithmetic number, because the mean of its divisors is an integer number (255801).

Almost surely, 25731380 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 5731380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9208836).

5731380 is an abundant number, since it is smaller than the sum of its proper divisors (12686292).

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

5731380 is a wasteful number, since it uses less digits than its factorization.

5731380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5731380 is about 2394.0300749991. The cubic root of 5731380 is about 178.9588037068.

It can be divided in two parts, 573 and 1380, that added together give a triangular number (1953 = T62).

The spelling of 5731380 in words is "five million, seven hundred thirty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 1873 3060 3746 5619 7492 9365 11238 16857 18730 22476 28095 31841 33714 37460 56190 63682 67428 84285 95523 112380 127364 159205 168570 191046 286569 318410 337140 382092 477615 573138 636820 955230 1146276 1432845 1910460 2865690 5731380