Search a number
-
+
23064120 = 2332564067
BaseRepresentation
bin101011111111…
…0111000111000
31121101210000200
41113332320320
521401022440
62142202200
7400020222
oct127767070
947353020
1023064120
1112023462
127883360
134a17011
1430c5412
152058c30
hex15fee38

23064120 has 48 divisors (see below), whose sum is σ = 74959560. Its totient is φ = 6150336.

The previous prime is 23064113. The next prime is 23064127. The reversal of 23064120 is 2146032.

It is a happy number.

23064120 is a `hidden beast` number, since 2 + 3 + 0 + 641 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (23064113) and next prime (23064127).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23064093 and 23064102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23064127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31674 + ... + 32393.

Almost surely, 223064120 is an apocalyptic number.

23064120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23064120 is an abundant number, since it is smaller than the sum of its proper divisors (51895440).

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

23064120 is a wasteful number, since it uses less digits than its factorization.

23064120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64084 (or 64077 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 23064120 is about 4802.5118427756. The cubic root of 23064120 is about 284.6507263337.

The spelling of 23064120 in words is "twenty-three million, sixty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 64067 128134 192201 256268 320335 384402 512536 576603 640670 768804 961005 1153206 1281340 1537608 1922010 2306412 2562680 2883015 3844020 4612824 5766030 7688040 11532060 23064120