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12690160 = 2457173143
BaseRepresentation
bin110000011010…
…001011110000
3212212201121221
4300122023300
511222041120
61131554424
7212602360
oct60321360
925781557
1012690160
11718833a
1242bba14
132824192
1419849a0
1511aa0aa
hexc1a2f0

12690160 has 160 divisors (see below), whose sum is σ = 37711872. Its totient is φ = 3870720.

The previous prime is 12690151. The next prime is 12690179. The reversal of 12690160 is 6109621.

It is a super-2 number, since 2×126901602 = 322080321651200, which contains 22 as substring.

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, 295099 + ... + 295141.

Almost surely, 212690160 is an apocalyptic number.

12690160 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 12690160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18855936).

12690160 is an abundant number, since it is smaller than the sum of its proper divisors (25021712).

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

12690160 is a wasteful number, since it uses less digits than its factorization.

12690160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 12690160 is about 3562.3250834251. The cubic root of 12690160 is about 233.2503832131.

Adding to 12690160 its reverse (6109621), we get a palindrome (18799781).

The spelling of 12690160 in words is "twelve million, six hundred ninety thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 31 34 35 40 43 56 62 68 70 80 85 86 112 119 124 136 140 155 170 172 215 217 238 248 272 280 301 310 340 344 430 434 476 496 527 560 595 602 620 680 688 731 860 868 952 1054 1085 1190 1204 1240 1333 1360 1462 1505 1720 1736 1904 2108 2170 2380 2408 2480 2635 2666 2924 3010 3440 3472 3655 3689 4216 4340 4760 4816 5117 5270 5332 5848 6020 6665 7310 7378 8432 8680 9331 9520 10234 10540 10664 11696 12040 13330 14620 14756 17360 18445 18662 20468 21080 21328 22661 24080 25585 26660 29240 29512 36890 37324 40936 42160 45322 46655 51170 53320 58480 59024 73780 74648 81872 90644 93310 102340 106640 113305 147560 149296 158627 181288 186620 204680 226610 295120 317254 362576 373240 409360 453220 634508 746480 793135 906440 1269016 1586270 1812880 2538032 3172540 6345080 12690160