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1142164760 = 235117973257
BaseRepresentation
bin100010000010100…
…0000110100011000
32221121011222111112
41010011000310120
54314343233020
6305200315452
740206145262
oct10405006430
92847158445
101142164760
115367a4320
1227a612b88
13152824949
14ab996b32
156a4142c5
hex44140d18

1142164760 has 64 divisors (see below), whose sum is σ = 2807874720. Its totient is φ = 414684160.

The previous prime is 1142164747. The next prime is 1142164817. The reversal of 1142164760 is 674612411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349052 + ... + 352308.

Almost surely, 21142164760 is an apocalyptic number.

1142164760 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 1142164760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403937360).

1142164760 is an abundant number, since it is smaller than the sum of its proper divisors (1665709960).

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

1142164760 is a wasteful number, since it uses less digits than its factorization.

1142164760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4076 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 1142164760 is about 33795.9281571020. The cubic root of 1142164760 is about 1045.3047377852.

The spelling of 1142164760 in words is "one billion, one hundred forty-two million, one hundred sixty-four thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 797 1594 3188 3257 3985 6376 6514 7970 8767 13028 15940 16285 17534 26056 31880 32570 35068 35827 43835 65140 70136 71654 87670 130280 143308 175340 179135 286616 350680 358270 716540 1433080 2595829 5191658 10383316 12979145 20766632 25958290 28554119 51916580 57108238 103833160 114216476 142770595 228432952 285541190 571082380 1142164760