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940030080 = 27351147947
BaseRepresentation
bin111000000001111…
…011100010000000
32102111211110211220
4320001323202000
53411121430310
6233140035040
732203060323
oct7001734200
92374743756
10940030080
11442693570
12222992a80
1311c9a0b22
148cbba7ba
15577d7670
hex3807b880

940030080 has 256 divisors, whose sum is σ = 3341813760. Its totient is φ = 222801920.

The previous prime is 940030057. The next prime is 940030087. The reversal of 940030080 is 80030049.

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

It is a self number, because there is not a number n which added to its sum of digits gives 940030080.

It is not an unprimeable number, because it can be changed into a prime (940030087) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 992167 + ... + 993113.

It is an arithmetic number, because the mean of its divisors is an integer number (13053960).

Almost surely, 2940030080 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 940030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670906880).

940030080 is an abundant number, since it is smaller than the sum of its proper divisors (2401783680).

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

940030080 is a wasteful number, since it uses less digits than its factorization.

940030080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 940030080 is about 30659.9099802984. The cubic root of 940030080 is about 979.5965575226.

The spelling of 940030080 in words is "nine hundred forty million, thirty thousand, eighty".