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1148800680 = 233253191113
BaseRepresentation
bin100010001111001…
…0100111010101000
32222001200010021100
41010132110322220
54323043110210
6305554441400
740316434056
oct10436247250
92861603240
101148800680
1153a516a55
12280893260
13154009221
14ac8031d6
156acc55c0
hex44794ea8

1148800680 has 48 divisors (see below), whose sum is σ = 3733603380. Its totient is φ = 306346752.

The previous prime is 1148800673. The next prime is 1148800703. The reversal of 1148800680 is 860088411.

It can be written as a sum of positive squares in 2 ways, for example, as 1119705444 + 29095236 = 33462^2 + 5394^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1595197 + ... + 1595916.

Almost surely, 21148800680 is an apocalyptic number.

1148800680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1148800680 is an abundant number, since it is smaller than the sum of its proper divisors (2584802700).

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

1148800680 is a wasteful number, since it uses less digits than its factorization.

1148800680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3191130 (or 3191123 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1148800680 is about 33893.9622941904. The cubic root of 1148800680 is about 1047.3252192327.

The spelling of 1148800680 in words is "one billion, one hundred forty-eight million, eight hundred thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3191113 6382226 9573339 12764452 15955565 19146678 25528904 28720017 31911130 38293356 47866695 57440034 63822260 76586712 95733390 114880068 127644520 143600085 191466780 229760136 287200170 382933560 574400340 1148800680