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12661740 = 22325713773
BaseRepresentation
bin110000010011…
…001111101100
3212211021122100
4300103033230
511220133430
61131215100
7212423460
oct60231754
925737570
1012661740
117168a53
1242a7490
132814270
1419784a0
1511a1960
hexc133ec

12661740 has 144 divisors (see below), whose sum is σ = 47331648. Its totient is φ = 2668032.

The previous prime is 12661739. The next prime is 12661741. The reversal of 12661740 is 4716621.

12661740 is a `hidden beast` number, since 1 + 2 + 6 + 617 + 40 = 666.

12661740 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12661739) and next prime (12661741).

12661740 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12661741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15994 + ... + 16766.

It is an arithmetic number, because the mean of its divisors is an integer number (328692).

Almost surely, 212661740 is an apocalyptic number.

12661740 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 12661740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23665824).

12661740 is an abundant number, since it is smaller than the sum of its proper divisors (34669908).

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

12661740 is a wasteful number, since it uses less digits than its factorization.

12661740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12661740 is about 3558.3338797814. Note that the first 3 decimals coincide. The cubic root of 12661740 is about 233.0761292858.

The spelling of 12661740 in words is "twelve million, six hundred sixty-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 773 780 819 910 1092 1170 1260 1365 1546 1638 1820 2319 2340 2730 3092 3276 3865 4095 4638 5411 5460 6957 7730 8190 9276 10049 10822 11595 13914 15460 16233 16380 20098 21644 23190 27055 27828 30147 32466 34785 40196 46380 48699 50245 54110 60294 64932 69570 70343 81165 90441 97398 100490 108220 120588 139140 140686 150735 162330 180882 194796 200980 211029 243495 281372 301470 324660 351715 361764 422058 452205 486990 602940 633087 703430 844116 904410 973980 1055145 1266174 1406860 1808820 2110290 2532348 3165435 4220580 6330870 12661740