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23046320 = 2451126189
BaseRepresentation
bin101011111101…
…0100010110000
31121100212121102
41113322202300
521344440240
62141543532
7366614303
oct127724260
947325542
1023046320
1112011050
127874ba8
134a0bb9b
1430bcb3a
152053815
hex15fa8b0

23046320 has 40 divisors (see below), whose sum is σ = 58456080. Its totient is φ = 8380160.

The previous prime is 23046313. The next prime is 23046337. The reversal of 23046320 is 2364032.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×230463202 = 1062265731084800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23046292 and 23046301.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12215 + ... + 13974.

It is an arithmetic number, because the mean of its divisors is an integer number (1461402).

Almost surely, 223046320 is an apocalyptic number.

23046320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23046320 is an abundant number, since it is smaller than the sum of its proper divisors (35409760).

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

23046320 is a wasteful number, since it uses less digits than its factorization.

23046320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26213 (or 26207 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 23046320 is about 4800.6582881934. The cubic root of 23046320 is about 284.5774799964.

It can be divided in two parts, 23046 and 320, that multiplied together give a triangular number (7374720 = T3840).

The spelling of 23046320 in words is "twenty-three million, forty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 26189 52378 104756 130945 209512 261890 288079 419024 523780 576158 1047560 1152316 1440395 2095120 2304632 2880790 4609264 5761580 11523160 23046320