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20452014 = 2341123499
BaseRepresentation
bin100111000000…
…1001010101110
31102111001220000
41032001022232
520213431024
62010205130
7335560602
oct116011256
942431800
1020452014
11105a99a0
126a237a6
1343110ab
142a05502
151bdecc9
hex13812ae

20452014 has 80 divisors (see below), whose sum is σ = 52272000. Its totient is φ = 5916240.

The previous prime is 20452007. The next prime is 20452021. The reversal of 20452014 is 41025402.

Added to its reverse (41025402) it gives a triangular number (61477416 = T11088).

It is an interprime number because it is at equal distance from previous prime (20452007) and next prime (20452021).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40737 + ... + 41235.

It is an arithmetic number, because the mean of its divisors is an integer number (653400).

Almost surely, 220452014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20452014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26136000).

20452014 is an abundant number, since it is smaller than the sum of its proper divisors (31819986).

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

20452014 is a wasteful number, since it uses less digits than its factorization.

20452014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 20452014 is about 4522.3902971769. The cubic root of 20452014 is about 273.4714712558.

Adding to 20452014 its reverse (41025402), we get a palindrome (61477416).

The spelling of 20452014 in words is "twenty million, four hundred fifty-two thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 81 99 138 162 198 207 253 297 414 499 506 594 621 759 891 998 1242 1497 1518 1782 1863 2277 2994 3726 4491 4554 5489 6831 8982 10978 11477 13473 13662 16467 20493 22954 26946 32934 34431 40419 40986 49401 68862 80838 98802 103293 126247 148203 206586 252494 296406 309879 378741 444609 619758 757482 889218 929637 1136223 1859274 2272446 3408669 6817338 10226007 20452014