Search a number
-
+
1141744760 = 235138392617
BaseRepresentation
bin100010000001101…
…1010010001111000
32221120101122100222
41010003122101320
54314241313020
6305143315212
740202445632
oct10403322170
92846348328
101141744760
11536537812
1227a44bb08
13152708720
14ab8c7a52
156a37eb25
hex440da478

1141744760 has 64 divisors (see below), whose sum is σ = 2770891200. Its totient is φ = 420903936.

The previous prime is 1141744757. The next prime is 1141744783. The reversal of 1141744760 is 674471411.

It is a self number, because there is not a number n which added to its sum of digits gives 1141744760.

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, 434972 + ... + 437588.

It is an arithmetic number, because the mean of its divisors is an integer number (43295175).

Almost surely, 21141744760 is an apocalyptic number.

1141744760 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 1141744760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385445600).

1141744760 is an abundant number, since it is smaller than the sum of its proper divisors (1629146440).

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

1141744760 is a wasteful number, since it uses less digits than its factorization.

1141744760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 1141744760 is about 33789.7138194451. The cubic root of 1141744760 is about 1045.1765946224.

The spelling of 1141744760 in words is "one billion, one hundred forty-one million, seven hundred forty-four thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 839 1678 2617 3356 4195 5234 6712 8390 10468 10907 13085 16780 20936 21814 26170 33560 34021 43628 52340 54535 68042 87256 104680 109070 136084 170105 218140 272168 340210 436280 680420 1360840 2195663 4391326 8782652 10978315 17565304 21956630 28543619 43913260 57087238 87826520 114174476 142718095 228348952 285436190 570872380 1141744760