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23115540 = 22357471171
BaseRepresentation
bin101100000101…
…1011100010100
31121111101120010
41120023130110
521404144130
62143240220
7400323150
oct130133424
947441503
1023115540
1112059058
1278a9070
134a34546
1430da060
1520690b0
hex160b714

23115540 has 96 divisors (see below), whose sum is σ = 75608064. Its totient is φ = 5166720.

The previous prime is 23115539. The next prime is 23115559. The reversal of 23115540 is 4551132.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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, 19155 + ... + 20325.

It is an arithmetic number, because the mean of its divisors is an integer number (787584).

Almost surely, 223115540 is an apocalyptic number.

23115540 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 23115540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37804032).

23115540 is an abundant number, since it is smaller than the sum of its proper divisors (52492524).

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

23115540 is a wasteful number, since it uses less digits than its factorization.

23115540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 23115540 is about 4807.8623108404. The cubic root of 23115540 is about 284.8621062689.

Adding to 23115540 its reverse (4551132), we get a palindrome (27666672).

The spelling of 23115540 in words is "twenty-three million, one hundred fifteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 60 70 84 94 105 140 141 188 210 235 282 329 420 470 564 658 705 940 987 1171 1316 1410 1645 1974 2342 2820 3290 3513 3948 4684 4935 5855 6580 7026 8197 9870 11710 14052 16394 17565 19740 23420 24591 32788 35130 40985 49182 55037 70260 81970 98364 110074 122955 163940 165111 220148 245910 275185 330222 385259 491820 550370 660444 770518 825555 1100740 1155777 1541036 1651110 1926295 2311554 3302220 3852590 4623108 5778885 7705180 11557770 23115540