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23540132 = 22711233323
BaseRepresentation
bin101100111001…
…1000110100100
31122021221222202
41121303012210
522011241012
62200314032
7404042060
oct131630644
948257882
1023540132
1112319060
127a72918
134b52895
1431aaaa0
1520eecc2
hex16731a4

23540132 has 48 divisors (see below), whose sum is σ = 53609472. Its totient is φ = 8770080.

The previous prime is 23540123. The next prime is 23540137. The reversal of 23540132 is 23104532.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23540137) 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, 5423 + ... + 8745.

It is an arithmetic number, because the mean of its divisors is an integer number (1116864).

Almost surely, 223540132 is an apocalyptic number.

23540132 is a gapful number since it is divisible by the number (22) 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 23540132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26804736).

23540132 is an abundant number, since it is smaller than the sum of its proper divisors (30069340).

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

23540132 is a wasteful number, since it uses less digits than its factorization.

23540132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 23540132 is about 4851.8173914524. The cubic root of 23540132 is about 286.5956743860.

Adding to 23540132 its reverse (23104532), we get a palindrome (46644664).

Subtracting from 23540132 its reverse (23104532), we obtain a square (435600 = 6602).

The spelling of 23540132 in words is "twenty-three million, five hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 253 308 322 506 644 1012 1771 3323 3542 6646 7084 13292 23261 36553 46522 73106 76429 93044 146212 152858 255871 305716 511742 535003 840719 1023484 1070006 1681438 2140012 3362876 5885033 11770066 23540132