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23455780 = 22529371093
BaseRepresentation
bin101100101111…
…0100000100100
31122010200021121
41121132200210
522001041110
62154423324
7403241125
oct131364044
948120247
1023455780
1112270747
127a31b44
134b2337a
14318804c
1520d4cda
hex165e824

23455780 has 48 divisors (see below), whose sum is σ = 52380720. Its totient is φ = 8805888.

The previous prime is 23455771. The next prime is 23455799. The reversal of 23455780 is 8755432.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5410276 + 18045504 = 2326^2 + 4248^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20914 + ... + 22006.

It is an arithmetic number, because the mean of its divisors is an integer number (1091265).

Almost surely, 223455780 is an apocalyptic number.

23455780 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 23455780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26190360).

23455780 is an abundant number, since it is smaller than the sum of its proper divisors (28924940).

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

23455780 is a wasteful number, since it uses less digits than its factorization.

23455780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 23455780 is about 4843.1167650595. The cubic root of 23455780 is about 286.2529426418.

The spelling of 23455780 in words is "twenty-three million, four hundred fifty-five thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 29 37 58 74 116 145 148 185 290 370 580 740 1073 1093 2146 2186 4292 4372 5365 5465 10730 10930 21460 21860 31697 40441 63394 80882 126788 158485 161764 202205 316970 404410 633940 808820 1172789 2345578 4691156 5863945 11727890 23455780