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12690540 = 2233571331
BaseRepresentation
bin110000011010…
…010001101100
3212212202011000
4300122101230
511222044130
61132000300
7212603442
oct60322154
925782130
1012690540
117188655
124300090
1328243c5
141984b92
1511aa260
hexc1a46c

12690540 has 96 divisors (see below), whose sum is σ = 40158720. Its totient is φ = 3326400.

The previous prime is 12690533. The next prime is 12690553. The reversal of 12690540 is 4509621.

It is a super-2 number, since 2×126905402 = 322099610983200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 38175 + ... + 38505.

It is an arithmetic number, because the mean of its divisors is an integer number (418320).

Almost surely, 212690540 is an apocalyptic number.

12690540 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 12690540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20079360).

12690540 is an abundant number, since it is smaller than the sum of its proper divisors (27468180).

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

12690540 is a wasteful number, since it uses less digits than its factorization.

12690540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 12690540 is about 3562.3784189780. The cubic root of 12690540 is about 233.2527113755.

The spelling of 12690540 in words is "twelve million, six hundred ninety thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 90 108 135 142 180 213 270 284 331 355 426 540 639 662 710 852 993 1065 1278 1324 1420 1655 1917 1986 2130 2556 2979 3195 3310 3834 3972 4260 4965 5958 6390 6620 7668 8937 9585 9930 11916 12780 14895 17874 19170 19860 23501 29790 35748 38340 44685 47002 59580 70503 89370 94004 117505 141006 178740 211509 235010 282012 352515 423018 470020 634527 705030 846036 1057545 1269054 1410060 2115090 2538108 3172635 4230180 6345270 12690540