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23066520 = 2335211911
BaseRepresentation
bin101011111111…
…1011110011000
31121101220022120
41113333132120
521401112040
62142221240
7400030221
oct127773630
947356276
1023066520
1112025244
127884820
134a18139
1430c6248
1520597d0
hex15ff798

23066520 has 64 divisors (see below), whose sum is σ = 69603840. Its totient is φ = 6115200.

The previous prime is 23066507. The next prime is 23066557. The reversal of 23066520 is 2566032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24865 + ... + 25775.

It is an arithmetic number, because the mean of its divisors is an integer number (1087560).

Almost surely, 223066520 is an apocalyptic number.

23066520 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 23066520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34801920).

23066520 is an abundant number, since it is smaller than the sum of its proper divisors (46537320).

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

23066520 is a wasteful number, since it uses less digits than its factorization.

23066520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1132 counting only the distinct ones).

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

The square root of 23066520 is about 4802.7617055190. The cubic root of 23066520 is about 284.6605993609.

The spelling of 23066520 in words is "twenty-three million, sixty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 211 422 633 844 911 1055 1266 1688 1822 2110 2532 2733 3165 3644 4220 4555 5064 5466 6330 7288 8440 9110 10932 12660 13665 18220 21864 25320 27330 36440 54660 109320 192221 384442 576663 768884 961105 1153326 1537768 1922210 2306652 2883315 3844420 4613304 5766630 7688840 11533260 23066520