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23135424 = 2631322331
BaseRepresentation
bin101100001000…
…0010011000000
31121112101211120
41120100103000
521410313144
62143512240
7400435134
oct130202300
947471746
1023135424
1112071a94
1278b8680
134a40600
1431033c4
15206ee19
hex16104c0

23135424 has 168 divisors, whose sum is σ = 71396352. Its totient is φ = 6589440.

The previous prime is 23135389. The next prime is 23135443. The reversal of 23135424 is 42453132.

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (2880) is a multiple of the sum of its prime divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 23135394 and 23135403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 746289 + ... + 746319.

Almost surely, 223135424 is an apocalyptic number.

23135424 is a gapful number since it is divisible by the number (24) 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 23135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35698176).

23135424 is an abundant number, since it is smaller than the sum of its proper divisors (48260928).

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

23135424 is a wasteful number, since it uses less digits than its factorization.

23135424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 72 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 23135424 is about 4809.9297292164. The cubic root of 23135424 is about 284.9437623724.

Adding to 23135424 its reverse (42453132), we get a palindrome (65588556).

The spelling of 23135424 in words is "twenty-three million, one hundred thirty-five thousand, four hundred twenty-four".