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23890432 = 29291609
BaseRepresentation
bin101101100100…
…0101000000000
31122221202111211
41123020220000
522103443212
62212015504
7410031256
oct133105000
948852454
1023890432
1112538265
128001594
134c46167
14325c5d6
15216d9a7
hex16c8a00

23890432 has 40 divisors (see below), whose sum is σ = 49410900. Its totient is φ = 11526144.

The previous prime is 23890411. The next prime is 23890453. The reversal of 23890432 is 23409832.

It is an interprime number because it is at equal distance from previous prime (23890411) and next prime (23890453).

It can be written as a sum of positive squares in 2 ways, for example, as 21381376 + 2509056 = 4624^2 + 1584^2 .

It is a super-2 number, since 2×238904322 = 1141505482293248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23890394 and 23890403.

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, 14044 + ... + 15652.

Almost surely, 223890432 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 23890432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24705450).

23890432 is an abundant number, since it is smaller than the sum of its proper divisors (25520468).

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

23890432 is an equidigital number, since it uses as much as digits as its factorization.

23890432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 23890432 is about 4887.7839559457. The cubic root of 23890432 is about 288.0102876984.

The spelling of 23890432 in words is "twenty-three million, eight hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1609 1856 3218 3712 6436 7424 12872 14848 25744 46661 51488 93322 102976 186644 205952 373288 411904 746576 823808 1493152 2986304 5972608 11945216 23890432