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27387990 = 2335743337
BaseRepresentation
bin110100001111…
…0100001010110
31220112110021000
41220132201112
524002403430
62415004130
7451536240
oct150364126
956473230
1027387990
1114507003
129209646
13589c116
1438cd090
15260ee60
hex1a1e856

27387990 has 128 divisors (see below), whose sum is σ = 85662720. Its totient is φ = 6096384.

The previous prime is 27387989. The next prime is 27387991. The reversal of 27387990 is 9978372.

It is an interprime number because it is at equal distance from previous prime (27387989) and next prime (27387991).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27387991) 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, 81102 + ... + 81438.

It is an arithmetic number, because the mean of its divisors is an integer number (669240).

Almost surely, 227387990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27387990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42831360).

27387990 is an abundant number, since it is smaller than the sum of its proper divisors (58274730).

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

27387990 is a wasteful number, since it uses less digits than its factorization.

27387990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 27387990 is about 5233.3536093025. The cubic root of 27387990 is about 301.4301712002.

The spelling of 27387990 in words is "twenty-seven million, three hundred eighty-seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 43 45 54 63 70 86 90 105 126 129 135 189 210 215 258 270 301 315 337 378 387 430 602 630 645 674 774 903 945 1011 1161 1290 1505 1685 1806 1890 1935 2022 2322 2359 2709 3010 3033 3370 3870 4515 4718 5055 5418 5805 6066 7077 8127 9030 9099 10110 11610 11795 13545 14154 14491 15165 16254 18198 21231 23590 27090 28982 30330 35385 40635 42462 43473 45495 63693 70770 72455 81270 86946 90990 101437 106155 127386 130419 144910 202874 212310 217365 260838 304311 318465 391257 434730 507185 608622 636930 652095 782514 912933 1014370 1304190 1521555 1825866 1956285 2738799 3043110 3912570 4564665 5477598 9129330 13693995 27387990