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20002914 = 23217131499
BaseRepresentation
bin100110001001…
…1100001100010
31101122020211200
41030103201202
520110043124
61552422030
7332010351
oct114234142
941566750
1020002914
1110322538
126847916
1341b4859
142929998
151b51bc9
hex1313862

20002914 has 48 divisors (see below), whose sum is σ = 46332000. Its totient is φ = 6215040.

The previous prime is 20002907. The next prime is 20002919. The reversal of 20002914 is 41920002.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20002919) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39837 + ... + 40335.

It is an arithmetic number, because the mean of its divisors is an integer number (965250).

Almost surely, 220002914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20002914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23166000).

20002914 is an abundant number, since it is smaller than the sum of its proper divisors (26329086).

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

20002914 is a wasteful number, since it uses less digits than its factorization.

20002914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 20002914 is about 4472.4617382377. The cubic root of 20002914 is about 271.4549440408.

Adding to 20002914 its reverse (41920002), we get a palindrome (61922916).

The spelling of 20002914 in words is "twenty million, two thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 131 153 262 306 393 499 786 998 1179 1497 2227 2358 2994 4454 4491 6681 8483 8982 13362 16966 20043 25449 40086 50898 65369 76347 130738 152694 196107 392214 588321 1111273 1176642 2222546 3333819 6667638 10001457 20002914