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20692314 = 2333147263
BaseRepresentation
bin100111011101…
…1110101011010
31102221021112000
41032323311122
520244123224
62015301430
7340611306
oct116736532
942837460
1020692314
1110753495
126b1a876
134396596
142a68d06
151c3b0c9
hex13bbd5a

20692314 has 64 divisors (see below), whose sum is σ = 48660480. Its totient is φ = 6508080.

The previous prime is 20692307. The next prime is 20692319. The reversal of 20692314 is 41329602.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20692319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78547 + ... + 78809.

It is an arithmetic number, because the mean of its divisors is an integer number (760320).

Almost surely, 220692314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20692314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24330240).

20692314 is an abundant number, since it is smaller than the sum of its proper divisors (27968166).

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

20692314 is a wasteful number, since it uses less digits than its factorization.

20692314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20692314 is about 4548.8805216229. The cubic root of 20692314 is about 274.5383505198.

The spelling of 20692314 in words is "twenty million, six hundred ninety-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 31 47 54 62 93 94 141 186 263 279 282 423 526 558 789 837 846 1269 1457 1578 1674 2367 2538 2914 4371 4734 7101 8153 8742 12361 13113 14202 16306 24459 24722 26226 37083 39339 48918 73377 74166 78678 111249 146754 220131 222498 333747 383191 440262 667494 766382 1149573 2299146 3448719 6897438 10346157 20692314