Search a number
-
+
23067540 = 22325128153
BaseRepresentation
bin101011111111…
…1101110010100
31121101221201100
41113333232110
521401130130
62142230100
7400033206
oct127775624
947357640
1023067540
1112025a91
127885330
134a18742
1430c6776
152059c60
hex15ffb94

23067540 has 36 divisors (see below), whose sum is σ = 69972084. Its totient is φ = 6151296.

The previous prime is 23067533. The next prime is 23067547. The reversal of 23067540 is 4576032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23067533) and next prime (23067547).

It can be written as a sum of positive squares in 2 ways, for example, as 13220496 + 9847044 = 3636^2 + 3138^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×230675402 = 1064222803303200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23067547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63897 + ... + 64256.

It is an arithmetic number, because the mean of its divisors is an integer number (1943669).

Almost surely, 223067540 is an apocalyptic number.

23067540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23067540 is an abundant number, since it is smaller than the sum of its proper divisors (46904544).

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

23067540 is a wasteful number, since it uses less digits than its factorization.

23067540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128168 (or 128163 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 23067540 is about 4802.8678932488. The cubic root of 23067540 is about 284.6647951900.

The spelling of 23067540 in words is "twenty-three million, sixty-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 128153 256306 384459 512612 640765 768918 1153377 1281530 1537836 1922295 2306754 2563060 3844590 4613508 5766885 7689180 11533770 23067540