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5730660 = 22325133179
BaseRepresentation
bin10101110111000101100100
3101210010222200
4111313011210
52431340120
6322454500
766465315
oct25670544
911703880
105730660
113264591
121b04430
131258530
14a9260c
15782e90
hex577164

5730660 has 144 divisors (see below), whose sum is σ = 19568640. Its totient is φ = 1347840.

The previous prime is 5730643. The next prime is 5730667. The reversal of 5730660 is 660375.

5730660 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5730667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72501 + ... + 72579.

Almost surely, 25730660 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 5730660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9784320).

5730660 is an abundant number, since it is smaller than the sum of its proper divisors (13837980).

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

5730660 is a wasteful number, since it uses less digits than its factorization.

5730660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 5730660 is about 2393.8796962254. The cubic root of 5730660 is about 178.9513095411.

The spelling of 5730660 in words is "five million, seven hundred thirty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 31 36 39 45 52 60 62 65 78 79 90 93 117 124 130 155 156 158 180 186 195 234 237 260 279 310 316 372 390 395 403 465 468 474 558 585 620 711 780 790 806 930 948 1027 1116 1170 1185 1209 1395 1422 1580 1612 1860 2015 2054 2340 2370 2418 2449 2790 2844 3081 3555 3627 4030 4108 4740 4836 4898 5135 5580 6045 6162 7110 7254 7347 8060 9243 9796 10270 12090 12245 12324 14220 14508 14694 15405 18135 18486 20540 22041 24180 24490 29388 30810 31837 36270 36735 36972 44082 46215 48980 61620 63674 72540 73470 88164 92430 95511 110205 127348 146940 159185 184860 191022 220410 286533 318370 382044 440820 477555 573066 636740 955110 1146132 1432665 1910220 2865330 5730660