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14795640 = 2332573563
BaseRepresentation
bin111000011100…
…001101111000
31000211200210200
4320130031320
512241430030
61245042200
7236521656
oct70341570
930750720
1014795640
118396202
124b56360
1330b0622
141d71dd6
151473d60
hexe1c378

14795640 has 96 divisors (see below), whose sum is σ = 48831120. Its totient is φ = 3884544.

The previous prime is 14795609. The next prime is 14795653. The reversal of 14795640 is 4659741.

14795640 is a `hidden beast` number, since 1 + 4 + 7 + 9 + 5 + 640 = 666.

14795640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 14795595 and 14795604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25999 + ... + 26561.

Almost surely, 214795640 is an apocalyptic number.

14795640 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 14795640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24415560).

14795640 is an abundant number, since it is smaller than the sum of its proper divisors (34035480).

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

14795640 is a wasteful number, since it uses less digits than its factorization.

14795640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 14795640 is about 3846.5101065771. The cubic root of 14795640 is about 245.4960932287.

The spelling of 14795640 in words is "fourteen million, seven hundred ninety-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 563 584 657 730 876 1095 1126 1314 1460 1689 1752 2190 2252 2628 2815 2920 3285 3378 4380 4504 5067 5256 5630 6570 6756 8445 8760 10134 11260 13140 13512 16890 20268 22520 25335 26280 33780 40536 41099 50670 67560 82198 101340 123297 164396 202680 205495 246594 328792 369891 410990 493188 616485 739782 821980 986376 1232970 1479564 1643960 1849455 2465940 2959128 3698910 4931880 7397820 14795640