Search a number
-
+
27036120 = 23351729457
BaseRepresentation
bin110011100100…
…0100111011000
31212212120120210
41213020213120
523410123440
62403251120
7445542336
oct147104730
955776523
1027036120
1114296701
129079aa0
1357a7c07
14383ab56
152590a80
hex19c89d8

27036120 has 128 divisors (see below), whose sum is σ = 89035200. Its totient is φ = 6537216.

The previous prime is 27036089. The next prime is 27036133. The reversal of 27036120 is 2163072.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58932 + ... + 59388.

Almost surely, 227036120 is an apocalyptic number.

27036120 is a gapful number since it is divisible by the number (20) 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 27036120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44517600).

27036120 is an abundant number, since it is smaller than the sum of its proper divisors (61999080).

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

27036120 is a wasteful number, since it uses less digits than its factorization.

27036120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 27036120 is about 5199.6269096927. The cubic root of 27036120 is about 300.1337181671.

Adding to 27036120 its reverse (2163072), we get a palindrome (29199192).

The spelling of 27036120 in words is "twenty-seven million, thirty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 29 30 34 40 51 58 60 68 85 87 102 116 120 136 145 170 174 204 232 255 290 340 348 408 435 457 493 510 580 680 696 870 914 986 1020 1160 1371 1479 1740 1828 1972 2040 2285 2465 2742 2958 3480 3656 3944 4570 4930 5484 5916 6855 7395 7769 9140 9860 10968 11832 13253 13710 14790 15538 18280 19720 23307 26506 27420 29580 31076 38845 39759 46614 53012 54840 59160 62152 66265 77690 79518 93228 106024 116535 132530 155380 159036 186456 198795 225301 233070 265060 310760 318072 397590 450602 466140 530120 675903 795180 901204 932280 1126505 1351806 1590360 1802408 2253010 2703612 3379515 4506020 5407224 6759030 9012040 13518060 27036120