Search a number
-
+
1330963160 = 23571661709
BaseRepresentation
bin100111101010100…
…1110001011011000
310102202102221012212
41033111032023120
510211211310120
6340023054252
744661000032
oct11725161330
93382387185
101330963160
1162332635a
123118a1388
13182989487
14c8aa0c52
157bca96c5
hex4f54e2d8

1330963160 has 64 divisors (see below), whose sum is σ = 3045729600. Its totient is φ = 523353600.

The previous prime is 1330963159. The next prime is 1330963163. The reversal of 1330963160 is 613690331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330963163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1876886 + ... + 1877594.

It is an arithmetic number, because the mean of its divisors is an integer number (47589525).

Almost surely, 21330963160 is an apocalyptic number.

1330963160 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 1330963160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522864800).

1330963160 is an abundant number, since it is smaller than the sum of its proper divisors (1714766440).

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

1330963160 is a wasteful number, since it uses less digits than its factorization.

1330963160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 32.

The square root of 1330963160 is about 36482.3677959641. The cubic root of 1330963160 is about 1099.9898511460.

The spelling of 1330963160 in words is "one billion, three hundred thirty million, nine hundred sixty-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 661 709 710 1322 1418 1420 2644 2836 2840 3305 3545 5288 5672 6610 7090 13220 14180 26440 28360 46931 50339 93862 100678 187724 201356 234655 251695 375448 402712 468649 469310 503390 937298 938620 1006780 1874596 1877240 2013560 2343245 3749192 4686490 9372980 18745960 33274079 66548158 133096316 166370395 266192632 332740790 665481580 1330963160