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20813958 = 23211313391
BaseRepresentation
bin100111101100…
…1100010000110
31110011110101100
41033121202012
520312021313
62022040530
7341626044
oct117314206
943143340
1020813958
1110826920
126b79146
134409a69
142a9b394
151c62173
hex13d9886

20813958 has 48 divisors (see below), whose sum is σ = 50798592. Its totient is φ = 6102000.

The previous prime is 20813957. The next prime is 20813963. The reversal of 20813958 is 85931802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20813953) 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, 4443 + ... + 7833.

It is an arithmetic number, because the mean of its divisors is an integer number (1058304).

Almost surely, 220813958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20813958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25399296).

20813958 is an abundant number, since it is smaller than the sum of its proper divisors (29984634).

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

20813958 is a wasteful number, since it uses less digits than its factorization.

20813958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3441 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 20813958 is about 4562.2316907408. The cubic root of 20813958 is about 275.0752763623.

The spelling of 20813958 in words is "twenty million, eight hundred thirteen thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 3391 6138 6782 10173 20346 30519 37301 61038 74602 105121 111903 210242 223806 315363 335709 630726 671418 946089 1156331 1892178 2312662 3468993 6937986 10406979 20813958