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20906940 = 223517103199
BaseRepresentation
bin100111111000…
…0001110111100
31110100011221010
41033300032330
520323010230
62024035220
7342464115
oct117601674
943304833
1020906940
111088a76a
127002b10
134440192
142ac320c
151c7e9b0
hex13f03bc

20906940 has 96 divisors (see below), whose sum is σ = 62899200. Its totient is φ = 5170176.

The previous prime is 20906939. The next prime is 20906969. The reversal of 20906940 is 4960902.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20906898 and 20906907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104961 + ... + 105159.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 220906940 is an apocalyptic number.

20906940 is a gapful number since it is divisible by the number (20) 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 20906940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31449600).

20906940 is an abundant number, since it is smaller than the sum of its proper divisors (41992260).

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

20906940 is a wasteful number, since it uses less digits than its factorization.

20906940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 20906940 is about 4572.4107427046. The cubic root of 20906940 is about 275.4842816539.

The spelling of 20906940 in words is "twenty million, nine hundred six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 103 170 199 204 206 255 309 340 398 412 510 515 597 618 796 995 1020 1030 1194 1236 1545 1751 1990 2060 2388 2985 3090 3383 3502 3980 5253 5970 6180 6766 7004 8755 10149 10506 11940 13532 16915 17510 20298 20497 21012 26265 33830 35020 40596 40994 50745 52530 61491 67660 81988 101490 102485 105060 122982 202980 204970 245964 307455 348449 409940 614910 696898 1045347 1229820 1393796 1742245 2090694 3484490 4181388 5226735 6968980 10453470 20906940