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12689460 = 223557373
BaseRepresentation
bin110000011010…
…000000110100
3212212200200000
4300122000310
511222030320
61131551300
7212600340
oct60320064
925780600
1012689460
117187863
1242bb530
132823a74
141984620
1511a9c90
hexc1a034

12689460 has 144 divisors (see below), whose sum is σ = 45741696. Its totient is φ = 2892672.

The previous prime is 12689423. The next prime is 12689477. The reversal of 12689460 is 6498621.

It is a super-2 number, since 2×126894602 = 322044790183200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33834 + ... + 34206.

Almost surely, 212689460 is an apocalyptic number.

12689460 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 12689460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22870848).

12689460 is an abundant number, since it is smaller than the sum of its proper divisors (33052236).

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

12689460 is a wasteful number, since it uses less digits than its factorization.

12689460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 12689460 is about 3562.2268316321. The cubic root of 12689460 is about 233.2460943712.

The spelling of 12689460 in words is "twelve million, six hundred eighty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 373 378 405 420 486 540 567 630 746 756 810 945 972 1119 1134 1215 1260 1492 1620 1701 1865 1890 2238 2268 2430 2611 2835 3357 3402 3730 3780 4476 4860 5222 5595 5670 6714 6804 7460 7833 8505 10071 10444 11190 11340 13055 13428 15666 16785 17010 20142 22380 23499 26110 30213 31332 33570 34020 39165 40284 46998 50355 52220 60426 67140 70497 78330 90639 93996 100710 117495 120852 140994 151065 156660 181278 201420 211491 234990 281988 302130 352485 362556 422982 453195 469980 604260 634473 704970 845964 906390 1057455 1268946 1409940 1812780 2114910 2537892 3172365 4229820 6344730 12689460