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23728128 = 21231931
BaseRepresentation
bin101101010000…
…1000000000000
31122122111212120
41122201000000
522033300003
62204324240
7405454134
oct132410000
948574776
1023728128
1112437326
127b43680
134bba318
1432193c4
15213a853
hex16a1000

23728128 has 52 divisors (see below), whose sum is σ = 63300048. Its totient is φ = 7905280.

The previous prime is 23728109. The next prime is 23728147. The reversal of 23728128 is 82182732.

It is an interprime number because it is at equal distance from previous prime (23728109) and next prime (23728147).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11323 + ... + 13253.

Almost surely, 223728128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23728128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31650024).

23728128 is an abundant number, since it is smaller than the sum of its proper divisors (39571920).

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

23728128 is an equidigital number, since it uses as much as digits as its factorization.

23728128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1936 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 23728128 is about 4871.1526356705. The cubic root of 23728128 is about 287.3565883362.

The spelling of 23728128 in words is "twenty-three million, seven hundred twenty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 1931 2048 3072 3862 4096 5793 6144 7724 11586 12288 15448 23172 30896 46344 61792 92688 123584 185376 247168 370752 494336 741504 988672 1483008 1977344 2966016 3954688 5932032 7909376 11864064 23728128