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940116240 = 24335797641
BaseRepresentation
bin111000000010010…
…000100100010000
32102111222212001000
4320002100210100
53411132204430
6233141542000
732203566450
oct7002204420
92374885030
10940116240
11442742278
12222a14900
1311ca010cb
148cbddd60
1557802e60
hex38090910

940116240 has 320 divisors, whose sum is σ = 3744760320. Its totient is φ = 212336640.

The previous prime is 940116217. The next prime is 940116251. The reversal of 940116240 is 42611049.

940116240 is a `hidden beast` number, since 9 + 401 + 16 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1466320 + ... + 1466960.

It is an arithmetic number, because the mean of its divisors is an integer number (11702376).

Almost surely, 2940116240 is an apocalyptic number.

940116240 is a gapful number since it is divisible by the number (90) 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 940116240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872380160).

940116240 is an abundant number, since it is smaller than the sum of its proper divisors (2804644080).

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

940116240 is a wasteful number, since it uses less digits than its factorization.

940116240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 940116240 is about 30661.3150402914. The cubic root of 940116240 is about 979.6264854517.

Adding to 940116240 its reverse (42611049), we get a palindrome (982727289).

The spelling of 940116240 in words is "nine hundred forty million, one hundred sixteen thousand, two hundred forty".