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27141312 = 2631171181
BaseRepresentation
bin110011110001…
…0010011000000
31220001220212210
41213202103000
523422010222
62405422120
7446461122
oct147422300
956056783
1027141312
1114358740
12910a940
135813a63
143867212
1525b1d0c
hex19e24c0

27141312 has 112 divisors (see below), whose sum is σ = 79881984. Its totient is φ = 8064000.

The previous prime is 27141307. The next prime is 27141347. The reversal of 27141312 is 21314172.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149862 + ... + 150042.

It is an arithmetic number, because the mean of its divisors is an integer number (713232).

Almost surely, 227141312 is an apocalyptic number.

27141312 is a gapful number since it is divisible by the number (22) 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 27141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39940992).

27141312 is an abundant number, since it is smaller than the sum of its proper divisors (52740672).

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

27141312 is a wasteful number, since it uses less digits than its factorization.

27141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 268 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 27141312 is about 5209.7324307492. The cubic root of 27141312 is about 300.5224673425.

Adding to 27141312 its reverse (21314172), we get a palindrome (48455484).

The spelling of 27141312 in words is "twenty-seven million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 71 88 96 132 142 176 181 192 213 264 284 352 362 426 528 543 568 704 724 781 852 1056 1086 1136 1448 1562 1704 1991 2112 2172 2272 2343 2896 3124 3408 3982 4344 4544 4686 5792 5973 6248 6816 7964 8688 9372 11584 11946 12496 12851 13632 15928 17376 18744 23892 24992 25702 31856 34752 37488 38553 47784 49984 51404 63712 74976 77106 95568 102808 127424 141361 149952 154212 191136 205616 282722 308424 382272 411232 424083 565444 616848 822464 848166 1130888 1233696 1696332 2261776 2467392 3392664 4523552 6785328 9047104 13570656 27141312