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23148380 = 22529107373
BaseRepresentation
bin101100001001…
…1011101011100
31121120001121102
41120103131130
521411222010
62144052232
7400520663
oct130233534
947501542
1023148380
11120807a2
127904078
134a46488
143107dda
152073ba5
hex161375c

23148380 has 48 divisors (see below), whose sum is σ = 50893920. Its totient is φ = 8832768.

The previous prime is 23148353. The next prime is 23148383. The reversal of 23148380 is 8384132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23148383) 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 15 ways as a sum of consecutive naturals, for example, 61874 + ... + 62246.

It is an arithmetic number, because the mean of its divisors is an integer number (1060290).

Almost surely, 223148380 is an apocalyptic number.

23148380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23148380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25446960).

23148380 is an abundant number, since it is smaller than the sum of its proper divisors (27745540).

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

23148380 is a wasteful number, since it uses less digits than its factorization.

23148380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 23148380 is about 4811.2763379378. The cubic root of 23148380 is about 284.9969426162.

The spelling of 23148380 in words is "twenty-three million, one hundred forty-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 107 116 145 214 290 373 428 535 580 746 1070 1492 1865 2140 3103 3730 6206 7460 10817 12412 15515 21634 31030 39911 43268 54085 62060 79822 108170 159644 199555 216340 399110 798220 1157419 2314838 4629676 5787095 11574190 23148380