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23690464 = 257105761
BaseRepresentation
bin101101001011…
…1110011100000
31122120121012121
41122113303200
522031043324
62203434024
7405236260
oct132276340
948517177
1023690464
1112410aa6
127b25914
134ba6135
1432097a0
15212e5e4
hex1697ce0

23690464 has 24 divisors (see below), whose sum is σ = 53304048. Its totient is φ = 10152960.

The previous prime is 23690461. The next prime is 23690467. The reversal of 23690464 is 46409632.

It is an interprime number because it is at equal distance from previous prime (23690461) and next prime (23690467).

It is a super-2 number, since 2×236904642 = 1122476169070592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23690461) 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 3 ways as a sum of consecutive naturals, for example, 52657 + ... + 53104.

It is an arithmetic number, because the mean of its divisors is an integer number (2221002).

Almost surely, 223690464 is an apocalyptic number.

It is an amenable number.

23690464 is an abundant number, since it is smaller than the sum of its proper divisors (29613584).

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

23690464 is a wasteful number, since it uses less digits than its factorization.

23690464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105778 (or 105770 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 23690464 is about 4867.2850748646. The cubic root of 23690464 is about 287.2044660660.

The spelling of 23690464 in words is "twenty-three million, six hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 105761 211522 423044 740327 846088 1480654 1692176 2961308 3384352 5922616 11845232 23690464