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12387690 = 232572532
BaseRepresentation
bin101111010000…
…010101101010
3212022100201100
4233100111222
511132401230
61121302230
7210202500
oct57202552
925270640
1012387690
116aa1067
124194976
1327495c3
141906670
15114a660
hexbd056a

12387690 has 108 divisors (see below), whose sum is σ = 38186694. Its totient is φ = 2778048.

The previous prime is 12387673. The next prime is 12387701. The reversal of 12387690 is 9678321.

12387690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 11716929 + 670761 = 3423^2 + 819^2 .

It is a super-2 number, since 2×123876902 = 306909727072200, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 233704 + ... + 233756.

Almost surely, 212387690 is an apocalyptic number.

12387690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12387690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19093347).

12387690 is an abundant number, since it is smaller than the sum of its proper divisors (25799004).

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

12387690 is a wasteful number, since it uses less digits than its factorization.

12387690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 12387690 is about 3519.6150357674. The cubic root of 12387690 is about 231.3822871056.

The spelling of 12387690 in words is "twelve million, three hundred eighty-seven thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 53 63 70 90 98 105 106 126 147 159 210 245 265 294 315 318 371 441 477 490 530 630 735 742 795 882 954 1113 1470 1590 1855 2205 2226 2385 2597 2809 3339 3710 4410 4770 5194 5565 5618 6678 7791 8427 11130 12985 14045 15582 16695 16854 19663 23373 25281 25970 28090 33390 38955 39326 42135 46746 50562 58989 77910 84270 98315 116865 117978 126405 137641 176967 196630 233730 252810 275282 294945 353934 412923 589890 688205 825846 884835 1238769 1376410 1769670 2064615 2477538 4129230 6193845 12387690