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116269440 = 2735741211
BaseRepresentation
bin1101110111000…
…10000110000000
322002210002200120
412323202012000
5214231110230
615312020240
72611162650
oct673420600
9262702616
10116269440
115a6a3a51
1232b31680
131b11bbb1
1411628360
15a31a310
hex6ee2180

116269440 has 256 divisors, whose sum is σ = 435939840. Its totient is φ = 25804800.

The previous prime is 116269421. The next prime is 116269441. The reversal of 116269440 is 44962611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116269441) 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, 550935 + ... + 551145.

It is an arithmetic number, because the mean of its divisors is an integer number (1702890).

Almost surely, 2116269440 is an apocalyptic number.

116269440 is a gapful number since it is divisible by the number (10) 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 116269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217969920).

116269440 is an abundant number, since it is smaller than the sum of its proper divisors (319670400).

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

116269440 is a wasteful number, since it uses less digits than its factorization.

116269440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 116269440 is about 10782.8307971516. The cubic root of 116269440 is about 488.0772071698.

The spelling of 116269440 in words is "one hundred sixteen million, two hundred sixty-nine thousand, four hundred forty".