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23970240 = 2632572941
BaseRepresentation
bin101101101110…
…0000111000000
31200002210222200
41123130013000
522114021430
62213433200
7410513040
oct133340700
950083880
1023970240
1112592218
12803b800
134c73598
14327d720
152187460
hex16dc1c0

23970240 has 336 divisors, whose sum is σ = 99852480. Its totient is φ = 5160960.

The previous prime is 23970217. The next prime is 23970251. The reversal of 23970240 is 4207932.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 584620 + ... + 584660.

It is an arithmetic number, because the mean of its divisors is an integer number (297180).

Almost surely, 223970240 is an apocalyptic number.

23970240 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 23970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49926240).

23970240 is an abundant number, since it is smaller than the sum of its proper divisors (75882240).

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

23970240 is a wasteful number, since it uses less digits than its factorization.

23970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 23970240 is about 4895.9411761172. The cubic root of 23970240 is about 288.3306387830.

The spelling of 23970240 in words is "twenty-three million, nine hundred seventy thousand, two hundred forty".