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12697740 = 2232511353
BaseRepresentation
bin110000011100…
…000010001100
3212220010000200
4300130002030
511222311430
61132053500
7212633436
oct60340214
925803020
1012697740
117193000
124304290
132827773
141987656
1511ac460
hexc1c08c

12697740 has 144 divisors (see below), whose sum is σ = 43164576. Its totient is φ = 3020160.

The previous prime is 12697739. The next prime is 12697753. The reversal of 12697740 is 4779621.

It is a happy number.

It is a super-2 number, since 2×126977402 = 322465202215200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12697695 and 12697704.

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, 239554 + ... + 239606.

It is an arithmetic number, because the mean of its divisors is an integer number (299754).

It is a vampire number, since it can be written as 17497260 (with its own digits).

Almost surely, 212697740 is an apocalyptic number.

12697740 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 12697740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21582288).

12697740 is an abundant number, since it is smaller than the sum of its proper divisors (30466836).

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

12697740 is a wasteful number, since it uses less digits than its factorization.

12697740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 12697740 is about 3563.3888364870. The cubic root of 12697740 is about 233.2968151466.

It can be divided in two parts, 1269 and 7740, that added together give a palindrome (9009).

The spelling of 12697740 in words is "twelve million, six hundred ninety-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 53 55 60 66 90 99 106 110 121 132 159 165 180 198 212 220 242 265 318 330 363 396 477 484 495 530 583 605 636 660 726 795 954 990 1060 1089 1166 1210 1331 1452 1590 1749 1815 1908 1980 2178 2332 2385 2420 2662 2915 3180 3498 3630 3993 4356 4770 5247 5324 5445 5830 6413 6655 6996 7260 7986 8745 9540 10494 10890 11660 11979 12826 13310 15972 17490 19239 19965 20988 21780 23958 25652 26235 26620 32065 34980 38478 39930 47916 52470 57717 59895 64130 70543 76956 79860 96195 104940 115434 119790 128260 141086 192390 211629 230868 239580 282172 288585 352715 384780 423258 577170 634887 705430 846516 1058145 1154340 1269774 1410860 2116290 2539548 3174435 4232580 6348870 12697740