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12387540 = 2235111372
BaseRepresentation
bin101111010000…
…010011010100
3212022100111210
4233100103110
511132400130
61121301420
7210202164
oct57202324
925270453
1012387540
116aa0a40
124194870
132749509
1419065a4
15114a5b0
hexbd04d4

12387540 has 72 divisors (see below), whose sum is σ = 38116512. Its totient is φ = 2981120.

The previous prime is 12387539. The next prime is 12387619. The reversal of 12387540 is 4578321.

It is a super-2 number, since 2×123875402 = 306902294503200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12387498 and 12387507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90352 + ... + 90488.

It is an arithmetic number, because the mean of its divisors is an integer number (529396).

Almost surely, 212387540 is an apocalyptic number.

12387540 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 12387540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19058256).

12387540 is an abundant number, since it is smaller than the sum of its proper divisors (25728972).

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

12387540 is a wasteful number, since it uses less digits than its factorization.

12387540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 12387540 is about 3519.5937265542. The cubic root of 12387540 is about 231.3813531816.

It can be divided in two parts, 1238 and 7540, that added together give a palindrome (8778).

The spelling of 12387540 in words is "twelve million, three hundred eighty-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 137 165 220 274 330 411 548 660 685 822 1370 1507 1644 2055 2740 3014 4110 4521 6028 7535 8220 9042 15070 18084 18769 22605 30140 37538 45210 56307 75076 90420 93845 112614 187690 206459 225228 281535 375380 412918 563070 619377 825836 1032295 1126140 1238754 2064590 2477508 3096885 4129180 6193770 12387540