Search a number
-
+
23055072 = 2533161127
BaseRepresentation
bin101011111110…
…0101011100000
31121101022121120
41113330223200
521400230242
62142052240
7366651645
oct127745340
947338546
1023055072
1112017687
12787a080
134a12b71
1430c1dcc
1520561ec
hex15fcae0

23055072 has 96 divisors (see below), whose sum is σ = 63995904. Its totient is φ = 7257600.

The previous prime is 23055061. The next prime is 23055073. The reversal of 23055072 is 27055032.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23055073) 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, 181473 + ... + 181599.

It is an arithmetic number, because the mean of its divisors is an integer number (666624).

Almost surely, 223055072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23055072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31997952).

23055072 is an abundant number, since it is smaller than the sum of its proper divisors (40940832).

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

23055072 is a wasteful number, since it uses less digits than its factorization.

23055072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 23055072 is about 4801.5697433235. The cubic root of 23055072 is about 284.6134988618.

The spelling of 23055072 in words is "twenty-three million, fifty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 61 62 93 96 122 124 127 183 186 244 248 254 366 372 381 488 496 508 732 744 762 976 992 1016 1464 1488 1524 1891 1952 2032 2928 2976 3048 3782 3937 4064 5673 5856 6096 7564 7747 7874 11346 11811 12192 15128 15494 15748 22692 23241 23622 30256 30988 31496 45384 46482 47244 60512 61976 62992 90768 92964 94488 123952 125984 181536 185928 188976 240157 247904 371856 377952 480314 720471 743712 960628 1440942 1921256 2881884 3842512 5763768 7685024 11527536 23055072