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14564070 = 23351719167
BaseRepresentation
bin110111100011…
…101011100110
31000101221011000
4313203223212
512212022240
61240054130
7234535563
oct67435346
930357130
1014564070
118248224
124a64346
13302c0c1
141d1186a
15142a430
hexde3ae6

14564070 has 128 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 3442176.

The previous prime is 14564063. The next prime is 14564071. The reversal of 14564070 is 7046541.

14564070 is a `hidden beast` number, since 14 + 5 + 640 + 7 + 0 = 666.

It is a super-2 number, since 2×145640702 = 424224269929800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14564071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87127 + ... + 87293.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 214564070 is an apocalyptic number.

14564070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14564070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

14564070 is an abundant number, since it is smaller than the sum of its proper divisors (28981530).

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

14564070 is a wasteful number, since it uses less digits than its factorization.

14564070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 14564070 is about 3816.2900833139. The cubic root of 14564070 is about 244.2085804928.

The spelling of 14564070 in words is "fourteen million, five hundred sixty-four thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 27 30 34 38 45 51 54 57 85 90 95 102 114 135 153 167 170 171 190 255 270 285 306 323 334 342 459 501 510 513 570 646 765 835 855 918 969 1002 1026 1503 1530 1615 1670 1710 1938 2295 2505 2565 2839 2907 3006 3173 3230 4509 4590 4845 5010 5130 5678 5814 6346 7515 8517 8721 9018 9519 9690 14195 14535 15030 15865 17034 17442 19038 22545 25551 28390 28557 29070 31730 42585 43605 45090 47595 51102 53941 57114 76653 85170 85671 87210 95190 107882 127755 142785 153306 161823 171342 255510 269705 285570 323646 383265 428355 485469 539410 766530 809115 856710 970938 1456407 1618230 2427345 2912814 4854690 7282035 14564070