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1074201120 = 25325745973
BaseRepresentation
bin100000000000111…
…0000001000100000
32202212022001220200
41000001300020200
54144443413440
6254331505200
735422362456
oct10001601040
92685261820
101074201120
115013a4223
1225b8b8200
13141719c85
14a29449d6
156448bc30
hex40070220

1074201120 has 72 divisors (see below), whose sum is σ = 3665716236. Its totient is φ = 286453248.

The previous prime is 1074201113. The next prime is 1074201143. The reversal of 1074201120 is 211024701.

It can be written as a sum of positive squares in 2 ways, for example, as 1074003984 + 197136 = 32772^2 + 444^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1074201093 and 1074201102.

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, 371547 + ... + 374426.

Almost surely, 21074201120 is an apocalyptic number.

1074201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1074201120 is an abundant number, since it is smaller than the sum of its proper divisors (2591515116).

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

1074201120 is a wasteful number, since it uses less digits than its factorization.

1074201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745994 (or 745983 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1074201120 is about 32775.0075514865. The cubic root of 1074201120 is about 1024.1459854530.

Adding to 1074201120 its reverse (211024701), we get a palindrome (1285225821).

The spelling of 1074201120 in words is "one billion, seventy-four million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 745973 1491946 2237919 2983892 3729865 4475838 5967784 6713757 7459730 8951676 11189595 11935568 13427514 14919460 17903352 22379190 23871136 26855028 29838920 33568785 35806704 44758380 53710056 59677840 67137570 71613408 89516760 107420112 119355680 134275140 179033520 214840224 268550280 358067040 537100560 1074201120