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23945740 = 22571359223
BaseRepresentation
bin101101101011…
…0001000001100
31200001120101021
41123112020030
522112230430
62213123524
7410351440
oct133261014
950046337
1023945740
1112575875
1280295a4
134c653a0
143274820
15218007a
hex16d620c

23945740 has 96 divisors (see below), whose sum is σ = 63221760. Its totient is φ = 7416576.

The previous prime is 23945699. The next prime is 23945743. The reversal of 23945740 is 4754932.

It is a junction number, because it is equal to n+sod(n) for n = 23945696 and 23945705.

It is not an unprimeable number, because it can be changed into a prime (23945743) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 107269 + ... + 107491.

It is an arithmetic number, because the mean of its divisors is an integer number (658560).

Almost surely, 223945740 is an apocalyptic number.

23945740 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 23945740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31610880).

23945740 is an abundant number, since it is smaller than the sum of its proper divisors (39276020).

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

23945740 is a wasteful number, since it uses less digits than its factorization.

23945740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 23945740 is about 4893.4384639025. The cubic root of 23945740 is about 288.2323709759.

The spelling of 23945740 in words is "twenty-three million, nine hundred forty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 59 65 70 91 118 130 140 182 223 236 260 295 364 413 446 455 590 767 826 892 910 1115 1180 1534 1561 1652 1820 2065 2230 2899 3068 3122 3835 4130 4460 5369 5798 6244 7670 7805 8260 10738 11596 13157 14495 15340 15610 20293 21476 26314 26845 28990 31220 40586 52628 53690 57980 65785 81172 92099 101465 107380 131570 171041 184198 202930 263140 342082 368396 405860 460495 684164 855205 920990 1197287 1710410 1841980 2394574 3420820 4789148 5986435 11972870 23945740