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1148796420 = 2235171139967
BaseRepresentation
bin100010001111001…
…0011111000000100
32222001122220102120
41010132103320010
54323042441140
6305554405540
740316415462
oct10436237004
92861586376
101148796420
1153a513832
122808908b0
131540072c5
14ac801832
156acc41d0
hex44793e04

1148796420 has 96 divisors (see below), whose sum is σ = 3436328448. Its totient is φ = 285745152.

The previous prime is 1148796413. The next prime is 1148796421. The reversal of 1148796420 is 246978411.

It is not an unprimeable number, because it can be changed into a prime (1148796421) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 110277 + ... + 120243.

It is an arithmetic number, because the mean of its divisors is an integer number (35795088).

Almost surely, 21148796420 is an apocalyptic number.

1148796420 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 1148796420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718164224).

1148796420 is an abundant number, since it is smaller than the sum of its proper divisors (2287532028).

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

1148796420 is a wasteful number, since it uses less digits than its factorization.

1148796420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10109 (or 10107 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 1148796420 is about 33893.8994510812. The cubic root of 1148796420 is about 1047.3239246621.

The spelling of 1148796420 in words is "one billion, one hundred forty-eight million, seven hundred ninety-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 113 170 204 226 255 339 340 452 510 565 678 1020 1130 1356 1695 1921 2260 3390 3842 5763 6780 7684 9605 9967 11526 19210 19934 23052 28815 29901 38420 39868 49835 57630 59802 99670 115260 119604 149505 169439 199340 299010 338878 508317 598020 677756 847195 1016634 1126271 1694390 2033268 2252542 2541585 3378813 3388780 4505084 5083170 5631355 6757626 10166340 11262710 13515252 16894065 19146607 22525420 33788130 38293214 57439821 67576260 76586428 95733035 114879642 191466070 229759284 287199105 382932140 574398210 1148796420