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1230898032 = 2435731371
BaseRepresentation
bin100100101011110…
…0000001101110000
310011210011002200000
41021113200031300
510010102214112
6322050230000
742334314000
oct11127401560
93153132600
101230898032
1158189aa01
122a4285300
13168022140
14b9694000
15730e07dc
hex495e0370

1230898032 has 480 divisors, whose sum is σ = 4549708800. Its totient is φ = 320060160.

The previous prime is 1230898013. The next prime is 1230898063. The reversal of 1230898032 is 2308980321.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17336557 + ... + 17336627.

It is an arithmetic number, because the mean of its divisors is an integer number (9478560).

Almost surely, 21230898032 is an apocalyptic number.

1230898032 is a gapful number since it is divisible by the number (12) 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 1230898032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274854400).

1230898032 is an abundant number, since it is smaller than the sum of its proper divisors (3318810768).

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

1230898032 is an equidigital number, since it uses as much as digits as its factorization.

1230898032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1230898032 is about 35084.1564242323. The cubic root of 1230898032 is about 1071.7019619602.

The spelling of 1230898032 in words is "one billion, two hundred thirty million, eight hundred ninety-eight thousand, thirty-two".