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20605088 = 257217773
BaseRepresentation
bin100111010011…
…0100010100000
31102202211212102
41032212202200
520233330323
62013345532
7340066100
oct116464240
942684772
1020605088
11106a39a9
126a982a8
13436597a
142a45200
151c20328
hex13a68a0

20605088 has 72 divisors (see below), whose sum is σ = 50029812. Its totient is φ = 8300544.

The previous prime is 20605073. The next prime is 20605099. The reversal of 20605088 is 88050602.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20322064 + 283024 = 4508^2 + 532^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20605088.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26270 + ... + 27042.

Almost surely, 220605088 is an apocalyptic number.

20605088 is a gapful number since it is divisible by the number (28) 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 20605088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25014906).

20605088 is an abundant number, since it is smaller than the sum of its proper divisors (29424724).

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

20605088 is a wasteful number, since it uses less digits than its factorization.

20605088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 20605088 is about 4539.2827627281. The cubic root of 20605088 is about 274.1520458980.

The spelling of 20605088 in words is "twenty million, six hundred five thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 392 476 544 773 784 833 952 1546 1568 1666 1904 3092 3332 3808 5411 6184 6664 10822 12368 13141 13328 21644 24736 26282 26656 37877 43288 52564 75754 86576 91987 105128 151508 173152 183974 210256 303016 367948 420512 606032 643909 735896 1212064 1287818 1471792 2575636 2943584 5151272 10302544 20605088