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20273792 = 27711317
BaseRepresentation
bin100110101010…
…1101010000000
31102011000102012
41031111222000
520142230132
62002312052
7334216160
oct115255200
942130365
1020273792
1110498000
126958628
13427ac36
14299a5a0
151ba70b2
hex1355a80

20273792 has 128 divisors (see below), whose sum is σ = 53758080. Its totient is φ = 7434240.

The previous prime is 20273791. The next prime is 20273819. The reversal of 20273792 is 29737202.

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

It is a super-2 number, since 2×202737922 = 822053284118528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (20273791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1192568 + ... + 1192584.

It is an arithmetic number, because the mean of its divisors is an integer number (419985).

Almost surely, 220273792 is an apocalyptic number.

20273792 is a gapful number since it is divisible by the number (22) 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 20273792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26879040).

20273792 is an abundant number, since it is smaller than the sum of its proper divisors (33484288).

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

20273792 is an equidigital number, since it uses as much as digits as its factorization.

20273792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 20273792 is about 4502.6427795240. The cubic root of 20273792 is about 272.6747951286.

The spelling of 20273792 in words is "twenty million, two hundred seventy-three thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 77 88 112 119 121 128 136 154 176 187 224 238 242 272 308 352 374 448 476 484 544 616 704 748 847 896 952 968 1088 1232 1309 1331 1408 1496 1694 1904 1936 2057 2176 2464 2618 2662 2992 3388 3808 3872 4114 4928 5236 5324 5984 6776 7616 7744 8228 9317 9856 10472 10648 11968 13552 14399 15232 15488 16456 18634 20944 21296 22627 23936 27104 28798 32912 37268 41888 42592 45254 54208 57596 65824 74536 83776 85184 90508 108416 115192 131648 149072 158389 167552 170368 181016 230384 263296 298144 316778 362032 460768 596288 633556 724064 921536 1192576 1267112 1448128 1843072 2534224 2896256 5068448 10136896 20273792