Search a number
-
+
23151360 = 28356029
BaseRepresentation
bin101100001010…
…0001100000000
31121120012200210
41120110030000
521411320420
62144114120
7400532451
oct130241400
947505623
1023151360
1112082a61
127905940
134a4793b
143109128
1520749e0
hex1614300

23151360 has 72 divisors (see below), whose sum is σ = 73951920. Its totient is φ = 6172672.

The previous prime is 23151353. The next prime is 23151361. The reversal of 23151360 is 6315132.

It is not an unprimeable number, because it can be changed into a prime (23151361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 826 + ... + 6854.

It is an arithmetic number, because the mean of its divisors is an integer number (1027110).

Almost surely, 223151360 is an apocalyptic number.

23151360 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 23151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36975960).

23151360 is an abundant number, since it is smaller than the sum of its proper divisors (50800560).

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

23151360 is an equidigital number, since it uses as much as digits as its factorization.

23151360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6053 (or 6039 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 23151360 is about 4811.5860171050. The cubic root of 23151360 is about 285.0091717578.

Adding to 23151360 its reverse (6315132), we get a palindrome (29466492).

The spelling of 23151360 in words is "twenty-three million, one hundred fifty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 6029 12058 18087 24116 30145 36174 48232 60290 72348 90435 96464 120580 144696 180870 192928 241160 289392 361740 385856 482320 578784 723480 771712 964640 1157568 1446960 1543424 1929280 2315136 2893920 3858560 4630272 5787840 7717120 11575680 23151360