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1120431140 = 2251931227419
BaseRepresentation
bin100001011001000…
…0110110000100100
32220002021210120122
41002302012300210
54243312244030
6303102421112
736523336043
oct10262066044
92802253518
101120431140
115254aa554
12273291798
1314b18540a
14a8b3a55a
156856e8e5
hex42c86c24

1120431140 has 96 divisors (see below), whose sum is σ = 2574028800. Its totient is φ = 408101760.

The previous prime is 1120431139. The next prime is 1120431157. The reversal of 1120431140 is 411340211.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2673851 + ... + 2674269.

It is an arithmetic number, because the mean of its divisors is an integer number (26812800).

Almost surely, 21120431140 is an apocalyptic number.

1120431140 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 1120431140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287014400).

1120431140 is an abundant number, since it is smaller than the sum of its proper divisors (1453597660).

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

1120431140 is a wasteful number, since it uses less digits than its factorization.

1120431140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1120431140 is about 33472.8418273680. The cubic root of 1120431140 is about 1038.6320587458.

Adding to 1120431140 its reverse (411340211), we get a palindrome (1531771351).

The spelling of 1120431140 in words is "one billion, one hundred twenty million, four hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 227 310 380 419 454 589 620 838 908 1135 1178 1676 2095 2270 2356 2945 4190 4313 4540 5890 7037 7961 8380 8626 11780 12989 14074 15922 17252 21565 25978 28148 31844 35185 39805 43130 51956 64945 70370 79610 86260 95113 129890 133703 140740 159220 190226 246791 259780 267406 380452 475565 493582 534812 668515 951130 987164 1233955 1337030 1807147 1902260 2467910 2674060 2948503 3614294 4935820 5897006 7228588 9035735 11794012 14742515 18071470 29485030 36142940 56021557 58970060 112043114 224086228 280107785 560215570 1120431140