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830137896 = 233472373109
BaseRepresentation
bin110001011110101…
…110011000101000
32010212001101010000
4301132232120220
53200003403041
6214212423000
726400025050
oct6136563050
92125041100
10830137896
11396655985
121b2017a60
13102ca5873
147c372560
154cd2bbb6
hex317ae628

830137896 has 320 divisors, whose sum is σ = 2836627200. Its totient is φ = 221709312.

The previous prime is 830137877. The next prime is 830137901. The reversal of 830137896 is 698731038.

It is a happy number.

830137896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7615890 + ... + 7615998.

It is an arithmetic number, because the mean of its divisors is an integer number (8864460).

Almost surely, 2830137896 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 830137896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418313600).

830137896 is an abundant number, since it is smaller than the sum of its proper divisors (2006489304).

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

830137896 is a wasteful number, since it uses less digits than its factorization.

830137896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 830137896 is about 28812.1137023996. The cubic root of 830137896 is about 939.8316795342.

It can be divided in two parts, 83013 and 7896, that added together give a palindrome (90909).

The spelling of 830137896 in words is "eight hundred thirty million, one hundred thirty-seven thousand, eight hundred ninety-six".