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20359392 = 2532971103
BaseRepresentation
bin100110110101…
…0100011100000
31102022100211120
41031222203200
520203000032
62004212240
7335023554
oct115524340
942270746
1020359392
1110546349
12699a080
1342aaba1
1429bd864
151bc262c
hex136a8e0

20359392 has 96 divisors (see below), whose sum is σ = 56609280. Its totient is φ = 6397440.

The previous prime is 20359337. The next prime is 20359441. The reversal of 20359392 is 29395302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197613 + ... + 197715.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 220359392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20359392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304640).

20359392 is an abundant number, since it is smaller than the sum of its proper divisors (36249888).

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

20359392 is a wasteful number, since it uses less digits than its factorization.

20359392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 20359392 is about 4512.1382957529. The cubic root of 20359392 is about 273.0580187708.

It can be divided in two parts, 203 and 59392, that added together give a palindrome (59595).

The spelling of 20359392 in words is "twenty million, three hundred fifty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 71 87 96 103 116 142 174 206 213 232 284 309 348 412 426 464 568 618 696 824 852 928 1136 1236 1392 1648 1704 2059 2272 2472 2784 2987 3296 3408 4118 4944 5974 6177 6816 7313 8236 8961 9888 11948 12354 14626 16472 17922 21939 23896 24708 29252 32944 35844 43878 47792 49416 58504 65888 71688 87756 95584 98832 117008 143376 175512 197664 212077 234016 286752 351024 424154 636231 702048 848308 1272462 1696616 2544924 3393232 5089848 6786464 10179696 20359392