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20278368 = 25321137173
BaseRepresentation
bin100110101011…
…0110001100000
31102011020200200
41031112301200
520142401433
62002345200
7334235415
oct115266140
942136620
1020278368
11104a0490
12695b200
134280046
14299c10c
151ba8613
hex1356c60

20278368 has 144 divisors (see below), whose sum is σ = 64982736. Its totient is φ = 5944320.

The previous prime is 20278361. The next prime is 20278393. The reversal of 20278368 is 86387202.

It is a happy number.

20278368 is a `hidden beast` number, since 20 + 278 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×202783682 = 822424417486848, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20278361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117130 + ... + 117302.

It is an arithmetic number, because the mean of its divisors is an integer number (451269).

Almost surely, 220278368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20278368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32491368).

20278368 is an abundant number, since it is smaller than the sum of its proper divisors (44704368).

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

20278368 is a wasteful number, since it uses less digits than its factorization.

20278368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 20278368 is about 4503.1508968721. The cubic root of 20278368 is about 272.6953087388.

The spelling of 20278368 in words is "twenty million, two hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 37 44 48 66 72 74 88 96 99 111 132 144 148 173 176 198 222 264 288 296 333 346 352 396 407 444 519 528 592 666 692 792 814 888 1038 1056 1184 1221 1332 1384 1557 1584 1628 1776 1903 2076 2442 2664 2768 3114 3168 3256 3552 3663 3806 4152 4884 5328 5536 5709 6228 6401 6512 7326 7612 8304 9768 10656 11418 12456 12802 13024 14652 15224 16608 17127 19203 19536 22836 24912 25604 29304 30448 34254 38406 39072 45672 49824 51208 57609 58608 60896 68508 70411 76812 91344 102416 115218 117216 137016 140822 153624 182688 204832 211233 230436 274032 281644 307248 422466 460872 548064 563288 614496 633699 844932 921744 1126576 1267398 1689864 1843488 2253152 2534796 3379728 5069592 6759456 10139184 20278368