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990255240 = 2333513251281
BaseRepresentation
bin111011000001100…
…001100010001000
32120000100011211000
4323001201202020
54012001131430
6242132335000
733353013342
oct7301414210
92500304730
10990255240
11468a78467
12237774460
1312a207860
1495732292
155be08e60
hex3b061888

990255240 has 256 divisors, whose sum is σ = 3581625600. Its totient is φ = 241920000.

The previous prime is 990255221. The next prime is 990255241. The reversal of 990255240 is 42552099.

It is a happy number.

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 = 990255195 and 990255204.

It is not an unprimeable number, because it can be changed into a prime (990255241) 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 63 ways as a sum of consecutive naturals, for example, 3523900 + ... + 3524180.

It is an arithmetic number, because the mean of its divisors is an integer number (13990725).

Almost surely, 2990255240 is an apocalyptic number.

990255240 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 990255240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790812800).

990255240 is an abundant number, since it is smaller than the sum of its proper divisors (2591370360).

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

990255240 is a wasteful number, since it uses less digits than its factorization.

990255240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 990255240 is about 31468.3212135633. The cubic root of 990255240 is about 996.7411380218.

The spelling of 990255240 in words is "nine hundred ninety million, two hundred fifty-five thousand, two hundred forty".