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24940080 = 24325114767
BaseRepresentation
bin101111100100…
…0111000110000
31201221002100200
41133020320300
522341040310
62250315200
7421662414
oct137107060
951832320
1024940080
1113094940
128428b00
135222b59
143452d44
1522c99c0
hex17c8e30

24940080 has 240 divisors, whose sum is σ = 94708224. Its totient is φ = 5829120.

The previous prime is 24940079. The next prime is 24940081. The reversal of 24940080 is 8004942.

It is an interprime number because it is at equal distance from previous prime (24940079) and next prime (24940081).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (24940081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372207 + ... + 372273.

Almost surely, 224940080 is an apocalyptic number.

24940080 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 24940080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47354112).

24940080 is an abundant number, since it is smaller than the sum of its proper divisors (69768144).

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

24940080 is a wasteful number, since it uses less digits than its factorization.

24940080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 24940080 is about 4994.0044052844. The cubic root of 24940080 is about 292.1679774101.

The spelling of 24940080 in words is "twenty-four million, nine hundred forty thousand, eighty".