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830013696 = 2833232227
BaseRepresentation
bin110001011110010…
…000000100000000
32010211211001202000
4301132100010000
53144440414241
6214210024000
726366000001
oct6136200400
92124731660
10830013696
11396580636
121b1b78000
13102c61185
147c33d1a8
154cd04eb6
hex31790100

830013696 has 216 divisors, whose sum is σ = 2577156960. Its totient is φ = 263476224.

The previous prime is 830013683. The next prime is 830013703. The reversal of 830013696 is 696310038.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a self number, because there is not a number n which added to its sum of digits gives 830013696.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3656335 + ... + 3656561.

Almost surely, 2830013696 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 830013696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288578480).

830013696 is an abundant number, since it is smaller than the sum of its proper divisors (1747143264).

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

830013696 is a wasteful number, since it uses less digits than its factorization.

830013696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 830013696 is about 28809.9582783454. The cubic root of 830013696 is about 939.7848066323.

The spelling of 830013696 in words is "eight hundred thirty million, thirteen thousand, six hundred ninety-six".