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23154040 = 2357136361
BaseRepresentation
bin101100001010…
…0110101111000
31121120100101001
41120110311320
521411412130
62144134344
7400543330
oct130246570
947510331
1023154040
1112084a78
1279073b4
134a48c20
14310a0c0
1520756ca
hex1614d78

23154040 has 64 divisors (see below), whose sum is σ = 64128960. Its totient is φ = 7326720.

The previous prime is 23154029. The next prime is 23154041. The reversal of 23154040 is 4045132.

It is a super-2 number, since 2×231540402 = 1072219136643200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23153999 and 23154017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23154041) 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, 460 + ... + 6820.

It is an arithmetic number, because the mean of its divisors is an integer number (1002015).

Almost surely, 223154040 is an apocalyptic number.

23154040 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 23154040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32064480).

23154040 is an abundant number, since it is smaller than the sum of its proper divisors (40974920).

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

23154040 is a wasteful number, since it uses less digits than its factorization.

23154040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6392 (or 6388 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 23154040 is about 4811.8645034955. The cubic root of 23154040 is about 285.0201688815.

Adding to 23154040 its reverse (4045132), we get a palindrome (27199172).

The spelling of 23154040 in words is "twenty-three million, one hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 6361 12722 25444 31805 44527 50888 63610 82693 89054 127220 165386 178108 222635 254440 330772 356216 413465 445270 578851 661544 826930 890540 1157702 1653860 1781080 2315404 2894255 3307720 4630808 5788510 11577020 23154040