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1130297460 = 22351937127211
BaseRepresentation
bin100001101011110…
…1111100001110100
32220202212001121220
41003113233201310
54303324004320
6304054110340
740003240605
oct10327574164
92822761556
101130297460
11530029236
1227664b3b0
1315022b186
14aa187dac
156936ce40
hex435ef874

1130297460 has 192 divisors, whose sum is σ = 3464724480. Its totient is φ = 274337280.

The previous prime is 1130297459. The next prime is 1130297473. The reversal of 1130297460 is 647920311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5356755 + ... + 5356965.

It is an arithmetic number, because the mean of its divisors is an integer number (18045440).

Almost surely, 21130297460 is an apocalyptic number.

1130297460 is a gapful number since it is divisible by the number (10) 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 1130297460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732362240).

1130297460 is an abundant number, since it is smaller than the sum of its proper divisors (2334427020).

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

1130297460 is a wasteful number, since it uses less digits than its factorization.

1130297460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1130297460 is about 33619.8967874680. The cubic root of 1130297460 is about 1041.6718241309.

The spelling of 1130297460 in words is "one billion, one hundred thirty million, two hundred ninety-seven thousand, four hundred sixty".