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27131490 = 23351723257
BaseRepresentation
bin110011101111…
…1111001100010
31220001102102000
41213133321202
523421201430
62405304430
7446420361
oct147377142
956042360
1027131490
1114351321
129105116
13580c449
1438637d8
1525ade60
hex19dfe62

27131490 has 128 divisors (see below), whose sum is σ = 80248320. Its totient is φ = 6488064.

The previous prime is 27131483. The next prime is 27131491. The reversal of 27131490 is 9413172.

It is a super-2 number, since 2×271314902 = 1472235499240200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27131491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105442 + ... + 105698.

It is an arithmetic number, because the mean of its divisors is an integer number (626940).

Almost surely, 227131490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27131490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40124160).

27131490 is an abundant number, since it is smaller than the sum of its proper divisors (53116830).

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

27131490 is a wasteful number, since it uses less digits than its factorization.

27131490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 27131490 is about 5208.7896866739. The cubic root of 27131490 is about 300.4862115687.

The spelling of 27131490 in words is "twenty-seven million, one hundred thirty-one thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 23 27 30 34 45 46 51 54 69 85 90 102 115 135 138 153 170 207 230 255 257 270 306 345 391 414 459 510 514 621 690 765 771 782 918 1035 1173 1242 1285 1530 1542 1955 2070 2295 2313 2346 2570 3105 3519 3855 3910 4369 4590 4626 5865 5911 6210 6939 7038 7710 8738 10557 11565 11730 11822 13107 13878 17595 17733 21114 21845 23130 26214 29555 34695 35190 35466 39321 43690 52785 53199 59110 65535 69390 78642 88665 100487 105570 106398 117963 131070 159597 177330 196605 200974 235926 265995 301461 319194 393210 502435 531990 589815 602922 797985 904383 1004870 1179630 1507305 1595970 1808766 2713149 3014610 4521915 5426298 9043830 13565745 27131490