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20883672 = 2332893259
BaseRepresentation
bin100111110101…
…0100011011000
31110022000000100
41033222203120
520321234142
62023335400
7342336225
oct117524330
943260010
1020883672
1110874237
126bb1560
134432704
142ab894c
151c77b4c
hex13ea8d8

20883672 has 48 divisors (see below), whose sum is σ = 57213000. Its totient is φ = 6880896.

The previous prime is 20883671. The next prime is 20883697. The reversal of 20883672 is 27638802.

It is a happy number.

It is a super-2 number, since 2×208836722 = 872255512407168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20883671) 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 11 ways as a sum of consecutive naturals, for example, 4779 + ... + 8037.

Almost surely, 220883672 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 20883672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28606500).

20883672 is an abundant number, since it is smaller than the sum of its proper divisors (36329328).

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

20883672 is a wasteful number, since it uses less digits than its factorization.

20883672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 20883672 is about 4569.8656435392. The cubic root of 20883672 is about 275.3820453042.

The spelling of 20883672 in words is "twenty million, eight hundred eighty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2136 3204 3259 6408 6518 9777 13036 19554 26072 29331 39108 58662 78216 117324 234648 290051 580102 870153 1160204 1740306 2320408 2610459 3480612 5220918 6961224 10441836 20883672