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23550540 = 223513109277
BaseRepresentation
bin101100111010…
…1101001001100
31122022111021020
41121311221030
522012104130
62200434140
7404114316
oct131655114
948274236
1023550540
1112325962
127a78950
134b57540
1431b07b6
152102e10
hex1675a4c

23550540 has 96 divisors (see below), whose sum is σ = 71924160. Its totient is φ = 5723136.

The previous prime is 23550539. The next prime is 23550563. The reversal of 23550540 is 4505532.

It is a self number, because there is not a number n which added to its sum of digits gives 23550540.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84882 + ... + 85158.

It is an arithmetic number, because the mean of its divisors is an integer number (749210).

Almost surely, 223550540 is an apocalyptic number.

23550540 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 23550540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35962080).

23550540 is an abundant number, since it is smaller than the sum of its proper divisors (48373620).

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

23550540 is a wasteful number, since it uses less digits than its factorization.

23550540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 23550540 is about 4852.8898606913. The cubic root of 23550540 is about 286.6379064951.

It can be divided in two parts, 23550 and 540, that added together give a triangular number (24090 = T219).

The spelling of 23550540 in words is "twenty-three million, five hundred fifty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 109 130 156 195 218 260 277 327 390 436 545 554 654 780 831 1090 1108 1308 1385 1417 1635 1662 2180 2770 2834 3270 3324 3601 4155 4251 5540 5668 6540 7085 7202 8310 8502 10803 14170 14404 16620 17004 18005 21255 21606 28340 30193 36010 42510 43212 54015 60386 72020 85020 90579 108030 120772 150965 181158 216060 301930 362316 392509 452895 603860 785018 905790 1177527 1570036 1811580 1962545 2355054 3925090 4710108 5887635 7850180 11775270 23550540