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20627136 = 263423173
BaseRepresentation
bin100111010101…
…1111011000000
31102210222010000
41032223323000
520240032021
62014040000
7340220265
oct116537300
942728100
1020627136
1110709522
126aa9000
134372a0a
142a4d26c
151c26b26
hex13abec0

20627136 has 140 divisors (see below), whose sum is σ = 64172592. Its totient is φ = 6538752.

The previous prime is 20627111. The next prime is 20627153. The reversal of 20627136 is 63172602.

It is a happy number.

20627136 is a `hidden beast` number, since 2 + 0 + 627 + 1 + 36 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119146 + ... + 119318.

Almost surely, 220627136 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 20627136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32086296).

20627136 is an abundant number, since it is smaller than the sum of its proper divisors (43545456).

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

20627136 is a wasteful number, since it uses less digits than its factorization.

20627136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 20627136 is about 4541.7106909181. The cubic root of 20627136 is about 274.2497944034.

Adding to 20627136 its reverse (63172602), we get a palindrome (83799738).

The spelling of 20627136 in words is "twenty million, six hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 173 184 192 207 216 276 288 324 346 368 414 432 519 552 576 621 648 692 736 828 864 1038 1104 1242 1296 1384 1472 1557 1656 1728 1863 2076 2208 2484 2592 2768 3114 3312 3726 3979 4152 4416 4671 4968 5184 5536 6228 6624 7452 7958 8304 9342 9936 11072 11937 12456 13248 14013 14904 15916 16608 18684 19872 23874 24912 28026 29808 31832 33216 35811 37368 39744 47748 49824 56052 59616 63664 71622 74736 95496 99648 107433 112104 119232 127328 143244 149472 190992 214866 224208 254656 286488 298944 322299 381984 429732 448416 572976 644598 763968 859464 896832 1145952 1289196 1718928 2291904 2578392 3437856 5156784 6875712 10313568 20627136