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20271616 = 29172137
BaseRepresentation
bin100110101010…
…1001000000000
31102010220102121
41031111020000
520142142431
62002254024
7334206631
oct115251000
942126377
1020271616
1110496402
126957314
134279c51
142999888
151ba6611
hex1355200

20271616 has 60 divisors (see below), whose sum is σ = 43340418. Its totient is φ = 9469952.

The previous prime is 20271611. The next prime is 20271623. The reversal of 20271616 is 61617202.

It can be written as a sum of positive squares in 3 ways, for example, as 20214016 + 57600 = 4496^2 + 240^2 .

It is not an unprimeable number, because it can be changed into a prime (20271611) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147900 + ... + 148036.

Almost surely, 220271616 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 20271616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21670209).

20271616 is an abundant number, since it is smaller than the sum of its proper divisors (23068802).

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

20271616 is an equidigital number, since it uses as much as digits as its factorization.

20271616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 20271616 is about 4502.4011371711. The cubic root of 20271616 is about 272.6650393220.

Adding to 20271616 its reverse (61617202), we get a palindrome (81888818).

The spelling of 20271616 in words is "twenty million, two hundred seventy-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 137 256 272 274 289 512 544 548 578 1088 1096 1156 2176 2192 2312 2329 4352 4384 4624 4658 8704 8768 9248 9316 17536 18496 18632 35072 36992 37264 39593 70144 73984 74528 79186 147968 149056 158372 298112 316744 596224 633488 1192448 1266976 2533952 5067904 10135808 20271616