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916277040 = 243257296269
BaseRepresentation
bin110110100111010…
…100011100110000
32100212010200210200
4312213110130300
53334031331130
6230530555200
731464140430
oct6647243460
92325120720
10916277040
1143023a558
12216a38b00
13117aa5383
14899962c0
1555694760
hex369d4730

916277040 has 240 divisors, whose sum is σ = 3638606400. Its totient is φ = 202180608.

The previous prime is 916277029. The next prime is 916277053. The reversal of 916277040 is 40772619.

It is a happy number.

916277040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×9162770402 = 1679127228062323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 916276986 and 916277004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143026 + ... + 149294.

It is an arithmetic number, because the mean of its divisors is an integer number (15160860).

Almost surely, 2916277040 is an apocalyptic number.

916277040 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 916277040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819303200).

916277040 is an abundant number, since it is smaller than the sum of its proper divisors (2722329360).

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

916277040 is a wasteful number, since it uses less digits than its factorization.

916277040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6324 (or 6315 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 916277040 is about 30270.0683844619. The cubic root of 916277040 is about 971.2751289196.

The spelling of 916277040 in words is "nine hundred sixteen million, two hundred seventy-seven thousand, forty".