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40830720 = 28357331
BaseRepresentation
bin1001101111000…
…0011100000000
32211211102012220
42123300130000
540423040340
64015051040
71004025000
oct233603400
984742186
1040830720
11210587a7
1211810a80
1385c79b8
1455cc000
1538b7ed0
hex26f0700

40830720 has 288 divisors, whose sum is σ = 156979200. Its totient is φ = 9031680.

The previous prime is 40830709. The next prime is 40830739. The reversal of 40830720 is 2703804.

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

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1317105 + ... + 1317135.

Almost surely, 240830720 is an apocalyptic number.

40830720 is a gapful number since it is divisible by the number (40) 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 40830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78489600).

40830720 is an abundant number, since it is smaller than the sum of its proper divisors (116148480).

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

40830720 is an equidigital number, since it uses as much as digits as its factorization.

40830720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 40830720 is about 6389.8920178670. The cubic root of 40830720 is about 344.3465050099.

The spelling of 40830720 in words is "forty million, eight hundred thirty thousand, seven hundred twenty".