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23280642 = 2337112509
BaseRepresentation
bin101100011001…
…1110000000010
31121210210001000
41120303300002
521424440032
62150552430
7401611410
oct130636002
947723030
1023280642
1112161100
127968716
134a91738
1431402b0
15209ce7c
hex1633c02

23280642 has 96 divisors (see below), whose sum is σ = 65116800. Its totient is φ = 6035040.

The previous prime is 23280641. The next prime is 23280671. The reversal of 23280642 is 24608232.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23280641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45484 + ... + 45992.

It is an arithmetic number, because the mean of its divisors is an integer number (678300).

Almost surely, 223280642 is an apocalyptic number.

23280642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23280642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32558400).

23280642 is an abundant number, since it is smaller than the sum of its proper divisors (41836158).

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

23280642 is a wasteful number, since it uses less digits than its factorization.

23280642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 23280642 is about 4825.0017616577. The cubic root of 23280642 is about 285.5387040971.

Adding to 23280642 its reverse (24608232), we get a palindrome (47888874).

The spelling of 23280642 in words is "twenty-three million, two hundred eighty thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 121 126 154 189 198 231 242 297 363 378 462 509 594 693 726 847 1018 1089 1386 1527 1694 2079 2178 2541 3054 3267 3563 4158 4581 5082 5599 6534 7126 7623 9162 10689 11198 13743 15246 16797 21378 22869 27486 32067 33594 39193 45738 50391 61589 64134 78386 96201 100782 117579 123178 151173 184767 192402 235158 302346 352737 369534 431123 554301 705474 862246 1058211 1108602 1293369 1662903 2116422 2586738 3325806 3880107 7760214 11640321 23280642