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20256384 = 2731729107
BaseRepresentation
bin100110101000…
…1011010000000
31102010010112110
41031101122000
520141201014
62002055320
7334114341
oct115213200
942103473
1020256384
1110485a15
12694a540
134273035
1429940c8
151ba1d59
hex1351680

20256384 has 128 divisors (see below), whose sum is σ = 59486400. Its totient is φ = 6078464.

The previous prime is 20256377. The next prime is 20256391. The reversal of 20256384 is 48365202.

It is an interprime number because it is at equal distance from previous prime (20256377) and next prime (20256391).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189259 + ... + 189365.

Almost surely, 220256384 is an apocalyptic number.

20256384 is a gapful number since it is divisible by the number (24) 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 20256384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29743200).

20256384 is an abundant number, since it is smaller than the sum of its proper divisors (39230016).

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

20256384 is a wasteful number, since it uses less digits than its factorization.

20256384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 20256384 is about 4500.7092774362. The cubic root of 20256384 is about 272.5967291199.

The spelling of 20256384 in words is "twenty million, two hundred fifty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 64 68 87 96 102 107 116 128 136 174 192 204 214 232 272 321 348 384 408 428 464 493 544 642 696 816 856 928 986 1088 1284 1392 1479 1632 1712 1819 1856 1972 2176 2568 2784 2958 3103 3264 3424 3638 3712 3944 5136 5457 5568 5916 6206 6528 6848 7276 7888 9309 10272 10914 11136 11832 12412 13696 14552 15776 18618 20544 21828 23664 24824 29104 31552 37236 41088 43656 47328 49648 52751 58208 63104 74472 87312 94656 99296 105502 116416 148944 158253 174624 189312 198592 211004 232832 297888 316506 349248 397184 422008 595776 633012 698496 844016 1191552 1266024 1688032 2532048 3376064 5064096 6752128 10128192 20256384