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23136540 = 22357311777
BaseRepresentation
bin101100001000…
…0100100011100
31121112110100220
41120100210130
521410332130
62143521340
7400441320
oct130204434
947473326
1023136540
1112072909
1278b9250
134a40c7b
143103980
152070410
hex161091c

23136540 has 96 divisors (see below), whose sum is σ = 76468224. Its totient is φ = 5114880.

The previous prime is 23136527. The next prime is 23136559. The reversal of 23136540 is 4563132.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 23136540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12132 + ... + 13908.

It is an arithmetic number, because the mean of its divisors is an integer number (796544).

Almost surely, 223136540 is an apocalyptic number.

23136540 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 23136540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38234112).

23136540 is an abundant number, since it is smaller than the sum of its proper divisors (53331684).

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

23136540 is a wasteful number, since it uses less digits than its factorization.

23136540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 23136540 is about 4810.0457378283. The cubic root of 23136540 is about 284.9483439774.

Adding to 23136540 its reverse (4563132), we get a palindrome (27699672).

The spelling of 23136540 in words is "twenty-three million, one hundred thirty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1302 1777 1860 2170 2604 3255 3554 4340 5331 6510 7108 8885 10662 12439 13020 17770 21324 24878 26655 35540 37317 49756 53310 55087 62195 74634 106620 110174 124390 149268 165261 186585 220348 248780 275435 330522 373170 385609 550870 661044 746340 771218 826305 1101740 1156827 1542436 1652610 1928045 2313654 3305220 3856090 4627308 5784135 7712180 11568270 23136540