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12387440 = 2451343277
BaseRepresentation
bin101111010000…
…010001110000
3212022100101002
4233100101300
511132344230
61121301132
7210201662
oct57202160
925270332
1012387440
116aa095a
1241947a8
132749460
141906532
15114a545
hexbd0470

12387440 has 80 divisors (see below), whose sum is σ = 31852128. Its totient is φ = 4451328.

The previous prime is 12387433. The next prime is 12387451. The reversal of 12387440 is 4478321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 44582 + ... + 44858.

Almost surely, 212387440 is an apocalyptic number.

12387440 is a gapful number since it is divisible by the number (10) 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 12387440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15926064).

12387440 is an abundant number, since it is smaller than the sum of its proper divisors (19464688).

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

12387440 is a wasteful number, since it uses less digits than its factorization.

12387440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 12387440 is about 3519.5795203405. The cubic root of 12387440 is about 231.3807305615.

The spelling of 12387440 in words is "twelve million, three hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 43 52 65 80 86 104 130 172 208 215 260 277 344 430 520 554 559 688 860 1040 1108 1118 1385 1720 2216 2236 2770 2795 3440 3601 4432 4472 5540 5590 7202 8944 11080 11180 11911 14404 18005 22160 22360 23822 28808 36010 44720 47644 57616 59555 72020 95288 119110 144040 154843 190576 238220 288080 309686 476440 619372 774215 952880 1238744 1548430 2477488 3096860 6193720 12387440