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1150042400 = 255213110581
BaseRepresentation
bin100010010001100…
…0100000100100000
32222011000012120222
41010203010010200
54323402324100
6310041222212
740333125203
oct10443040440
92864005528
101150042400
11540194971
12281191968
13154352480
14aca4793a
156ae6d485
hex448c4120

1150042400 has 72 divisors (see below), whose sum is σ = 3023533044. Its totient is φ = 424627200.

The previous prime is 1150042391. The next prime is 1150042457. The reversal of 1150042400 is 42400511.

It can be written as a sum of positive squares in 6 ways, for example, as 496933264 + 653109136 = 22292^2 + 25556^2 .

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, 44891 + ... + 65690.

Almost surely, 21150042400 is an apocalyptic number.

1150042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1150042400 is an abundant number, since it is smaller than the sum of its proper divisors (1873490644).

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

1150042400 is a wasteful number, since it uses less digits than its factorization.

1150042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110614 (or 110601 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 1150042400 is about 33912.2750637583. The cubic root of 1150042400 is about 1047.7024289662.

Adding to 1150042400 its reverse (42400511), we get a palindrome (1192442911).

The spelling of 1150042400 in words is "one billion, one hundred fifty million, forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 400 416 520 650 800 1040 1300 2080 2600 5200 10400 110581 221162 442324 552905 884648 1105810 1437553 1769296 2211620 2764525 2875106 3538592 4423240 5529050 5750212 7187765 8846480 11058100 11500424 14375530 17692960 22116200 23000848 28751060 35938825 44232400 46001696 57502120 71877650 88464800 115004240 143755300 230008480 287510600 575021200 1150042400