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23381072 = 2411213929
BaseRepresentation
bin101100100110…
…0010001010000
31121222212210122
41121030101100
521441143242
62153045412
7402510251
oct131142120
947885718
1023381072
111221a600
1279b6868
134ac8370
143168b28
1520bcad2
hex164c450

23381072 has 60 divisors (see below), whose sum is σ = 53681460. Its totient is φ = 9799680.

The previous prime is 23381063. The next prime is 23381119. The reversal of 23381072 is 27018332.

It can be written as a sum of positive squares in 2 ways, for example, as 1628176 + 21752896 = 1276^2 + 4664^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24704 + ... + 25632.

It is an arithmetic number, because the mean of its divisors is an integer number (894691).

Almost surely, 223381072 is an apocalyptic number.

23381072 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 23381072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26840730).

23381072 is an abundant number, since it is smaller than the sum of its proper divisors (30300388).

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

23381072 is a wasteful number, since it uses less digits than its factorization.

23381072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 955 counting only the distinct ones).

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

The square root of 23381072 is about 4835.3978119696. The cubic root of 23381072 is about 285.9487087507.

The spelling of 23381072 in words is "twenty-three million, three hundred eighty-one thousand, seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 176 208 242 286 484 572 929 968 1144 1573 1858 1936 2288 3146 3716 6292 7432 10219 12077 12584 14864 20438 24154 25168 40876 48308 81752 96616 112409 132847 163504 193232 224818 265694 449636 531388 899272 1062776 1461317 1798544 2125552 2922634 5845268 11690536 23381072