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20774912 = 216317
BaseRepresentation
bin100111101000…
…0000000000000
31110002110211012
41033100000000
520304244122
62021140052
7341404154
oct117200000
943073735
1020774912
11107aa554
126b5a628
1343c5062
142a8b064
151c557e2
hex13d0000

20774912 has 34 divisors (see below), whose sum is σ = 41680578. Its totient is φ = 10354688.

The previous prime is 20774909. The next prime is 20774917. The reversal of 20774912 is 21947702.

It can be written as a sum of positive squares in only one way, i.e., 12845056 + 7929856 = 3584^2 + 2816^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20774917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65378 + ... + 65694.

Almost surely, 220774912 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 20774912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20840289).

20774912 is an abundant number, since it is smaller than the sum of its proper divisors (20905666).

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

20774912 is an frugal number, since it uses more digits than its factorization.

20774912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 20774912 is about 4557.9504165798. The cubic root of 20774912 is about 274.9031592902.

The spelling of 20774912 in words is "twenty million, seven hundred seventy-four thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 317 512 634 1024 1268 2048 2536 4096 5072 8192 10144 16384 20288 32768 40576 65536 81152 162304 324608 649216 1298432 2596864 5193728 10387456 20774912