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23380992 = 210324359
BaseRepresentation
bin101100100110…
…0010000000000
31121222212200200
41121030100000
521441142432
62153045200
7402510105
oct131142000
947885620
1023380992
111221a538
1279b6800
134ac830b
143168aac
1520bca7c
hex164c400

23380992 has 132 divisors (see below), whose sum is σ = 70253040. Its totient is φ = 7483392.

The previous prime is 23380979. The next prime is 23380993. The reversal of 23380992 is 29908332.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23380993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396259 + ... + 396317.

It is an arithmetic number, because the mean of its divisors is an integer number (532220).

Almost surely, 223380992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23380992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35126520).

23380992 is an abundant number, since it is smaller than the sum of its proper divisors (46872048).

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

23380992 is a wasteful number, since it uses less digits than its factorization.

23380992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 23380992 is about 4835.3895396338. The cubic root of 23380992 is about 285.9483826190.

It can be divided in two parts, 233 and 80992, that added together give a square (81225 = 2852).

The spelling of 23380992 in words is "twenty-three million, three hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 59 64 72 86 96 118 128 129 144 172 177 192 236 256 258 288 344 354 384 387 472 512 516 531 576 688 708 768 774 944 1024 1032 1062 1152 1376 1416 1536 1548 1888 2064 2124 2304 2537 2752 2832 3072 3096 3776 4128 4248 4608 5074 5504 5664 6192 7552 7611 8256 8496 9216 10148 11008 11328 12384 15104 15222 16512 16992 20296 22016 22656 22833 24768 30208 30444 33024 33984 40592 44032 45312 45666 49536 60416 60888 66048 67968 81184 90624 91332 99072 121776 132096 135936 162368 181248 182664 198144 243552 271872 324736 365328 396288 487104 543744 649472 730656 974208 1298944 1461312 1948416 2597888 2922624 3896832 5845248 7793664 11690496 23380992