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20245632 = 273114793
BaseRepresentation
bin100110100111…
…0110010000000
31102002120210020
41031032302000
520140330012
62001533440
7334041111
oct115166200
942076706
1020245632
1110478930
126944280
13426b184
142990208
151b9da8c
hex134ec80

20245632 has 64 divisors (see below), whose sum is σ = 58678560. Its totient is φ = 6133760.

The previous prime is 20245619. The next prime is 20245637. The reversal of 20245632 is 23654202.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20245637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1828 + ... + 6620.

Almost surely, 220245632 is an apocalyptic number.

20245632 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 20245632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29339280).

20245632 is an abundant number, since it is smaller than the sum of its proper divisors (38432928).

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

20245632 is a wasteful number, since it uses less digits than its factorization.

20245632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4821 (or 4809 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 20245632 is about 4499.5146404918. The cubic root of 20245632 is about 272.5484895334.

Adding to 20245632 its reverse (23654202), we get a palindrome (43899834).

The spelling of 20245632 in words is "twenty million, two hundred forty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 4793 9586 14379 19172 28758 38344 52723 57516 76688 105446 115032 153376 158169 210892 230064 306752 316338 421784 460128 613504 632676 843568 920256 1265352 1687136 1840512 2530704 3374272 5061408 6748544 10122816 20245632