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12386640 = 2435773101
BaseRepresentation
bin101111010000…
…000101010000
3212022022021110
4233100011100
511132333030
61121253320
7210166440
oct57200520
925268243
1012386640
116aa02a2
124194240
132748c96
141906120
15114a1b0
hexbd0150

12386640 has 160 divisors (see below), whose sum is σ = 44925696. Its totient is φ = 2764800.

The previous prime is 12386611. The next prime is 12386657. The reversal of 12386640 is 4668321.

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 = 12386598 and 12386607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122590 + ... + 122690.

Almost surely, 212386640 is an apocalyptic number.

12386640 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 12386640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22462848).

12386640 is an abundant number, since it is smaller than the sum of its proper divisors (32539056).

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

12386640 is a wasteful number, since it uses less digits than its factorization.

12386640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 12386640 is about 3519.4658685659. The cubic root of 12386640 is about 231.3757494793.

The spelling of 12386640 in words is "twelve million, three hundred eighty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 73 80 84 101 105 112 120 140 146 168 202 210 219 240 280 292 303 336 365 404 420 438 505 511 560 584 606 707 730 808 840 876 1010 1022 1095 1168 1212 1414 1460 1515 1533 1616 1680 1752 2020 2044 2121 2190 2424 2555 2828 2920 3030 3066 3504 3535 4040 4088 4242 4380 4848 5110 5656 5840 6060 6132 7070 7373 7665 8080 8176 8484 8760 10220 10605 11312 12120 12264 14140 14746 15330 16968 17520 20440 21210 22119 24240 24528 28280 29492 30660 33936 36865 40880 42420 44238 51611 56560 58984 61320 73730 84840 88476 103222 110595 117968 122640 147460 154833 169680 176952 206444 221190 258055 294920 309666 353904 412888 442380 516110 589840 619332 774165 825776 884760 1032220 1238664 1548330 1769520 2064440 2477328 3096660 4128880 6193320 12386640