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1146048930 = 232513979529
BaseRepresentation
bin100010001001111…
…0101000110100010
32221212111022120200
41010103311012202
54321342031210
6305415450030
740254153345
oct10423650642
92855438520
101146048930
11538a07584
1227b986916
13153584880
14ac2c845c
156a9300c0
hex444f51a2

1146048930 has 48 divisors (see below), whose sum is σ = 3208940280. Its totient is φ = 282104064.

The previous prime is 1146048929. The next prime is 1146048947. The reversal of 1146048930 is 398406411.

1146048930 is a `hidden beast` number, since 1 + 14 + 604 + 8 + 9 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 748405449 + 397643481 = 27357^2 + 19941^2 .

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 488595 + ... + 490934.

Almost surely, 21146048930 is an apocalyptic number.

1146048930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1146048930 is an abundant number, since it is smaller than the sum of its proper divisors (2062891350).

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

1146048930 is a wasteful number, since it uses less digits than its factorization.

1146048930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979555 (or 979552 counting only the distinct ones).

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

The square root of 1146048930 is about 33853.3444433486. The cubic root of 1146048930 is about 1046.4883228709.

The spelling of 1146048930 in words is "one billion, one hundred forty-six million, forty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 979529 1959058 2938587 4897645 5877174 8815761 9795290 12733877 14692935 17631522 25467754 29385870 38201631 44078805 63669385 76403262 88157610 114604893 127338770 191008155 229209786 382016310 573024465 1146048930