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23307040 = 2553137127
BaseRepresentation
bin101100011101…
…0001100100000
31121212010020201
41120322030200
521431311130
62151314544
7402051361
oct130721440
947763221
1023307040
1112179a19
12797ba54
134aa0763
143149b68
1520a5bca
hex163a320

23307040 has 96 divisors (see below), whose sum is σ = 58834944. Its totient is φ = 8709120.

The previous prime is 23307029. The next prime is 23307043. The reversal of 23307040 is 4070332.

It is a super-2 number, since 2×233070402 = 1086436227123200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23306999 and 23307017.

It is not an unprimeable number, because it can be changed into a prime (23307043) 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, 183457 + ... + 183583.

It is an arithmetic number, because the mean of its divisors is an integer number (612864).

Almost surely, 223307040 is an apocalyptic number.

23307040 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 23307040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29417472).

23307040 is an abundant number, since it is smaller than the sum of its proper divisors (35527904).

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

23307040 is a wasteful number, since it uses less digits than its factorization.

23307040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 19.

The square root of 23307040 is about 4827.7365296793. The cubic root of 23307040 is about 285.6465877703.

Adding to 23307040 its reverse (4070332), we get a palindrome (27377372).

The spelling of 23307040 in words is "twenty-three million, three hundred seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 37 40 62 74 80 124 127 148 155 160 185 248 254 296 310 370 496 508 592 620 635 740 992 1016 1147 1184 1240 1270 1480 2032 2294 2480 2540 2960 3937 4064 4588 4699 4960 5080 5735 5920 7874 9176 9398 10160 11470 15748 18352 18796 19685 20320 22940 23495 31496 36704 37592 39370 45880 46990 62992 75184 78740 91760 93980 125984 145669 150368 157480 183520 187960 291338 314960 375920 582676 629920 728345 751840 1165352 1456690 2330704 2913380 4661408 5826760 11653520 23307040