Search a number
-
+
20097536 = 29172309
BaseRepresentation
bin100110010101…
…0101000000000
31101211001122012
41030222220000
520121110121
61554432052
7332553254
oct114525000
941731565
1020097536
1110387638
126892628
134218944
142952264
151b6ec5b
hex132aa00

20097536 has 40 divisors (see below), whose sum is σ = 42536340. Its totient is φ = 9453568.

The previous prime is 20097509. The next prime is 20097563. The reversal of 20097536 is 63579002.

It is an interprime number because it is at equal distance from previous prime (20097509) and next prime (20097563).

It can be written as a sum of positive squares in 2 ways, for example, as 17977600 + 2119936 = 4240^2 + 1456^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7550 + ... + 9858.

Almost surely, 220097536 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 20097536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21268170).

20097536 is an abundant number, since it is smaller than the sum of its proper divisors (22438804).

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

20097536 is an equidigital number, since it uses as much as digits as its factorization.

20097536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 20097536 is about 4483.0275484320. The cubic root of 20097536 is about 271.8823020191.

The spelling of 20097536 in words is "twenty million, ninety-seven thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 2176 2309 4352 4618 8704 9236 18472 36944 39253 73888 78506 147776 157012 295552 314024 591104 628048 1182208 1256096 2512192 5024384 10048768 20097536