Search a number
-
+
23141420 = 22517292347
BaseRepresentation
bin101100001000…
…1110000101100
31121112201001122
41120101300230
521411011140
62144000112
7400461461
oct130216054
947481048
1023141420
1112076545
127900038
134a43263
143105668
152071ab5
hex1611c2c

23141420 has 48 divisors (see below), whose sum is σ = 53252640. Its totient is φ = 8408064.

The previous prime is 23141401. The next prime is 23141429. The reversal of 23141420 is 2414132.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (23141429) 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, 8687 + ... + 11033.

It is an arithmetic number, because the mean of its divisors is an integer number (1109430).

Almost surely, 223141420 is an apocalyptic number.

23141420 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 23141420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26626320).

23141420 is an abundant number, since it is smaller than the sum of its proper divisors (30111220).

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

23141420 is a wasteful number, since it uses less digits than its factorization.

23141420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2400 counting only the distinct ones).

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

The square root of 23141420 is about 4810.5529827661. The cubic root of 23141420 is about 284.9683765056.

Adding to 23141420 its reverse (2414132), we get a palindrome (25555552).

The spelling of 23141420 in words is "twenty-three million, one hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2347 2465 4694 4930 9388 9860 11735 23470 39899 46940 68063 79798 136126 159596 199495 272252 340315 398990 680630 797980 1157071 1361260 2314142 4628284 5785355 11570710 23141420