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23406966 = 232113977
BaseRepresentation
bin101100101001…
…0100101110110
31122001012022200
41121102211312
521443010331
62153405330
7402645612
oct131224566
948035280
1023406966
1112238000
127a09846
134b0709b
143174342
1520c55e6
hex1652976

23406966 has 48 divisors (see below), whose sum is σ = 55839888. Its totient is φ = 7085760.

The previous prime is 23406961. The next prime is 23406983. The reversal of 23406966 is 66960432.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 23406966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23406961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 23470 + ... + 24446.

It is an arithmetic number, because the mean of its divisors is an integer number (1163331).

Almost surely, 223406966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23406966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27919944).

23406966 is an abundant number, since it is smaller than the sum of its proper divisors (32432922).

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

23406966 is a wasteful number, since it uses less digits than its factorization.

23406966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 23406966 is about 4838.0746170352. The cubic root of 23406966 is about 286.0542303475.

The spelling of 23406966 in words is "twenty-three million, four hundred six thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 977 1089 1331 1954 2178 2662 2931 3993 5862 7986 8793 10747 11979 17586 21494 23958 32241 64482 96723 118217 193446 236434 354651 709302 1063953 1300387 2127906 2600774 3901161 7802322 11703483 23406966