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23134560 = 253548197
BaseRepresentation
bin101100001000…
…0000101100000
31121112100122120
41120100011200
521410301220
62143504240
7400432461
oct130200540
947470576
1023134560
1112071379
1278b8080
134a400b7
143102d68
15206ea40
hex1610160

23134560 has 48 divisors (see below), whose sum is σ = 72875376. Its totient is φ = 6169088.

The previous prime is 23134543. The next prime is 23134567. The reversal of 23134560 is 6543132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23134560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23134567) 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, 23619 + ... + 24578.

It is an arithmetic number, because the mean of its divisors is an integer number (1518237).

Almost surely, 223134560 is an apocalyptic number.

23134560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23134560 is an abundant number, since it is smaller than the sum of its proper divisors (49740816).

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

23134560 is a wasteful number, since it uses less digits than its factorization.

23134560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48215 (or 48207 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 23134560 is about 4809.8399141759. The cubic root of 23134560 is about 284.9402152221.

Adding to 23134560 its reverse (6543132), we get a palindrome (29677692).

The spelling of 23134560 in words is "twenty-three million, one hundred thirty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 48197 96394 144591 192788 240985 289182 385576 481970 578364 722955 771152 963940 1156728 1445910 1542304 1927880 2313456 2891820 3855760 4626912 5783640 7711520 11567280 23134560