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1141666460 = 2251121074409
BaseRepresentation
bin100010000001100…
…0111001010011100
32221120020122221222
41010003013022130
54314231311320
6305141512512
740202001434
oct10403071234
92846218858
101141666460
11536493a00
1227a412738
131526abbac
14ab8a72c4
156a366825
hex440c729c

1141666460 has 72 divisors (see below), whose sum is σ = 2660500080. Its totient is φ = 411178240.

The previous prime is 1141666453. The next prime is 1141666489. The reversal of 1141666460 is 646661411.

It is a self number, because there is not a number n which added to its sum of digits gives 1141666460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256736 + ... + 261144.

It is an arithmetic number, because the mean of its divisors is an integer number (36951390).

Almost surely, 21141666460 is an apocalyptic number.

1141666460 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 1141666460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330250040).

1141666460 is an abundant number, since it is smaller than the sum of its proper divisors (1518833620).

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

1141666460 is a wasteful number, since it uses less digits than its factorization.

1141666460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4547 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 1141666460 is about 33788.5551629542. Note that the first 3 decimals coincide. The cubic root of 1141666460 is about 1045.1527016003.

The spelling of 1141666460 in words is "one billion, one hundred forty-one million, six hundred sixty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 121 214 220 242 428 484 535 605 1070 1177 1210 2140 2354 2420 4409 4708 5885 8818 11770 12947 17636 22045 23540 25894 44090 48499 51788 64735 88180 96998 129470 193996 242495 258940 471763 484990 533489 943526 969980 1066978 1887052 2133956 2358815 2667445 4717630 5189393 5334890 9435260 10378786 10669780 20757572 25946965 51893930 57083323 103787860 114166646 228333292 285416615 570833230 1141666460