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20239120 = 24511109211
BaseRepresentation
bin100110100110…
…1001100010000
31102002020212001
41031031030100
520140122440
62001443344
7334013116
oct115151420
942066761
1020239120
1110473a50
126940554
134268215
14298bab6
151b9bb9a
hex134d310

20239120 has 80 divisors (see below), whose sum is σ = 52050240. Its totient is φ = 7257600.

The previous prime is 20239099. The next prime is 20239127. The reversal of 20239120 is 2193202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (20239127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95815 + ... + 96025.

It is an arithmetic number, because the mean of its divisors is an integer number (650628).

Almost surely, 220239120 is an apocalyptic number.

20239120 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 20239120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26025120).

20239120 is an abundant number, since it is smaller than the sum of its proper divisors (31811120).

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

20239120 is a wasteful number, since it uses less digits than its factorization.

20239120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 20239120 is about 4498.7909486883. The cubic root of 20239120 is about 272.5192646931.

The spelling of 20239120 in words is "twenty million, two hundred thirty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 109 110 176 211 218 220 422 436 440 545 844 872 880 1055 1090 1199 1688 1744 2110 2180 2321 2398 3376 4220 4360 4642 4796 5995 8440 8720 9284 9592 11605 11990 16880 18568 19184 22999 23210 23980 37136 45998 46420 47960 91996 92840 95920 114995 183992 185680 229990 252989 367984 459980 505978 919960 1011956 1264945 1839920 2023912 2529890 4047824 5059780 10119560 20239120