Search a number
-
+
20257944 = 2337373259
BaseRepresentation
bin100110101000…
…1110010011000
31102010012200020
41031101302120
520141223234
62002110440
7334122030
oct115216230
942105606
1020257944
1110487103
12694b420
134273965
1429948c0
151ba2549
hex1351c98

20257944 has 64 divisors (see below), whose sum is σ = 59462400. Its totient is φ = 5629824.

The previous prime is 20257943. The next prime is 20257949. The reversal of 20257944 is 44975202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20257943) by changing a digit.

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, 4587 + ... + 7845.

It is an arithmetic number, because the mean of its divisors is an integer number (929100).

Almost surely, 220257944 is an apocalyptic number.

20257944 is a gapful number since it is divisible by the number (24) 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 20257944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29731200).

20257944 is an abundant number, since it is smaller than the sum of its proper divisors (39204456).

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

20257944 is a wasteful number, since it uses less digits than its factorization.

20257944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 20257944 is about 4500.8825801169. The cubic root of 20257944 is about 272.6037267490.

The spelling of 20257944 in words is "twenty million, two hundred fifty-seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 2072 3108 3259 6216 6518 9777 13036 19554 22813 26072 39108 45626 68439 78216 91252 120583 136878 182504 241166 273756 361749 482332 547512 723498 844081 964664 1446996 1688162 2532243 2893992 3376324 5064486 6752648 10128972 20257944