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23132780 = 22511479
BaseRepresentation
bin101100000111…
…1101001101100
31121112021012122
41120033221230
521410222110
62143452112
7400424336
oct130175154
947467178
1023132780
1112070000
1278b7038
134a3c348
143102456
15206e255
hex160fa6c

23132780 has 60 divisors (see below), whose sum is σ = 54112800. Its totient is φ = 8305440.

The previous prime is 23132773. The next prime is 23132783. The reversal of 23132780 is 8723132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23132783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 292781 + ... + 292859.

It is an arithmetic number, because the mean of its divisors is an integer number (901880).

Almost surely, 223132780 is an apocalyptic number.

23132780 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 23132780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27056400).

23132780 is an abundant number, since it is smaller than the sum of its proper divisors (30980020).

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

23132780 is an equidigital number, since it uses as much as digits as its factorization.

23132780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 23132780 is about 4809.6548732731. The cubic root of 23132780 is about 284.9329071573.

The spelling of 23132780 in words is "twenty-three million, one hundred thirty-two thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 121 158 220 242 316 395 484 605 790 869 1210 1331 1580 1738 2420 2662 3476 4345 5324 6655 8690 9559 13310 14641 17380 19118 26620 29282 38236 47795 58564 73205 95590 105149 146410 191180 210298 292820 420596 525745 1051490 1156639 2102980 2313278 4626556 5783195 11566390 23132780