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1144760268 = 2232913125111
BaseRepresentation
bin100010000111011…
…1010011111001100
32221210001211212110
41010032322133030
54321024312033
6305332104020
740240205331
oct10416723714
92853054773
101144760268
11538207373
1227b465010
13153223152
14ac070988
156a778363
hex443ba7cc

1144760268 has 48 divisors (see below), whose sum is σ = 2784418560. Its totient is φ = 365601600.

The previous prime is 1144760257. The next prime is 1144760273. The reversal of 1144760268 is 8620674411.

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, 33033 + ... + 58143.

It is an arithmetic number, because the mean of its divisors is an integer number (58008720).

Almost surely, 21144760268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144760268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392209280).

1144760268 is an abundant number, since it is smaller than the sum of its proper divisors (1639658292).

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

1144760268 is a wasteful number, since it uses less digits than its factorization.

1144760268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25278 (or 25276 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 1144760268 is about 33834.3060812543. The cubic root of 1144760268 is about 1046.0959383699.

The spelling of 1144760268 in words is "one billion, one hundred forty-four million, seven hundred sixty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 131 174 262 348 393 524 786 1572 3799 7598 11397 15196 22794 25111 45588 50222 75333 100444 150666 301332 728219 1456438 2184657 2912876 3289541 4369314 6579082 8738628 9868623 13158164 19737246 39474492 95396689 190793378 286190067 381586756 572380134 1144760268