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20731248 = 2433371297
BaseRepresentation
bin100111100010…
…1010101110000
31110000020221000
41033011111300
520301344443
62020202000
7341132646
oct117052560
943006830
1020731248
111077a76a
126b39300
1343ab215
142a79196
151c478d3
hex13c5570

20731248 has 80 divisors (see below), whose sum is σ = 61161760. Its totient is φ = 6718464.

The previous prime is 20731247. The next prime is 20731253. The reversal of 20731248 is 84213702.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20731241) 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, 15336 + ... + 16632.

It is an arithmetic number, because the mean of its divisors is an integer number (764522).

Almost surely, 220731248 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 20731248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30580880).

20731248 is an abundant number, since it is smaller than the sum of its proper divisors (40430512).

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

20731248 is a wasteful number, since it uses less digits than its factorization.

20731248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 20731248 is about 4553.1580249317. The cubic root of 20731248 is about 274.7104301817.

It can be divided in two parts, 2073 and 1248, that added together give a triangular number (3321 = T81).

The spelling of 20731248 in words is "twenty million, seven hundred thirty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 296 333 432 444 592 666 888 999 1297 1332 1776 1998 2594 2664 3891 3996 5188 5328 7782 7992 10376 11673 15564 15984 20752 23346 31128 35019 46692 47989 62256 70038 93384 95978 140076 143967 186768 191956 280152 287934 383912 431901 560304 575868 767824 863802 1151736 1295703 1727604 2303472 2591406 3455208 5182812 6910416 10365624 20731248