Search a number
-
+
23241040 = 2451723743
BaseRepresentation
bin101100010101…
…0000101010000
31121201202201021
41120222011100
521422203130
62150045224
7401355064
oct130520520
947652637
1023241040
1112134379
127949814
134a796c4
14312daa4
15209137a
hex162a150

23241040 has 80 divisors (see below), whose sum is σ = 59781888. Its totient is φ = 8357888.

The previous prime is 23241013. The next prime is 23241073. The reversal of 23241040 is 4014232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30909 + ... + 31651.

Almost surely, 223241040 is an apocalyptic number.

23241040 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 23241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29890944).

23241040 is an abundant number, since it is smaller than the sum of its proper divisors (36540848).

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

23241040 is a wasteful number, since it uses less digits than its factorization.

23241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 23241040 is about 4820.8961822466. The cubic root of 23241040 is about 285.3767051043.

Adding to 23241040 its reverse (4014232), we get a palindrome (27255272).

It can be divided in two parts, 2324 and 1040, that added together give a square (3364 = 582).

The spelling of 23241040 in words is "twenty-three million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 68 80 85 92 115 136 170 184 230 272 340 368 391 460 680 743 782 920 1360 1486 1564 1840 1955 2972 3128 3715 3910 5944 6256 7430 7820 11888 12631 14860 15640 17089 25262 29720 31280 34178 50524 59440 63155 68356 85445 101048 126310 136712 170890 202096 252620 273424 290513 341780 505240 581026 683560 1010480 1162052 1367120 1452565 2324104 2905130 4648208 5810260 11620520 23241040