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20246120 = 2354379149
BaseRepresentation
bin100110100111…
…0111001101000
31102002121110022
41031032321220
520140333440
62001540012
7334042406
oct115167150
942077408
1020246120
1110479234
126944608
13426b46b
142990476
151b9dcb5
hex134ee68

20246120 has 64 divisors (see below), whose sum is σ = 47520000. Its totient is φ = 7757568.

The previous prime is 20246101. The next prime is 20246123. The reversal of 20246120 is 2164202.

It is not an unprimeable number, because it can be changed into a prime (20246123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135806 + ... + 135954.

It is an arithmetic number, because the mean of its divisors is an integer number (742500).

Almost surely, 220246120 is an apocalyptic number.

20246120 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 20246120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23760000).

20246120 is an abundant number, since it is smaller than the sum of its proper divisors (27273880).

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

20246120 is a wasteful number, since it uses less digits than its factorization.

20246120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 20246120 is about 4499.5688682362. The cubic root of 20246120 is about 272.5506793489.

The spelling of 20246120 in words is "twenty million, two hundred forty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 79 86 149 158 172 215 298 316 344 395 430 596 632 745 790 860 1192 1490 1580 1720 2980 3160 3397 5960 6407 6794 11771 12814 13588 16985 23542 25628 27176 32035 33970 47084 51256 58855 64070 67940 94168 117710 128140 135880 235420 256280 470840 506153 1012306 2024612 2530765 4049224 5061530 10123060 20246120