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1330798032 = 243323151887
BaseRepresentation
bin100111101010010…
…0101110111010000
310102202010112201000
41033110211313100
510211141014112
6340015342000
744656411434
oct11724456720
93382115630
101330798032
11623223293
12311821900
1318292c275
14c8a5a9c4
157bc757dc
hex4f525dd0

1330798032 has 160 divisors (see below), whose sum is σ = 4016885760. Its totient is φ = 421027200.

The previous prime is 1330798031. The next prime is 1330798037. The reversal of 1330798032 is 2308970331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330798031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1499893 + ... + 1500779.

It is an arithmetic number, because the mean of its divisors is an integer number (25105536).

Almost surely, 21330798032 is an apocalyptic number.

1330798032 is a gapful number since it is divisible by the number (12) 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 1330798032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008442880).

1330798032 is an abundant number, since it is smaller than the sum of its proper divisors (2686087728).

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

1330798032 is a wasteful number, since it uses less digits than its factorization.

1330798032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1330798032 is about 36480.1046051132. The cubic root of 1330798032 is about 1099.9443586180.

The spelling of 1330798032 in words is "one billion, three hundred thirty million, seven hundred ninety-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 151 184 207 216 276 302 368 414 432 453 552 604 621 828 887 906 1104 1208 1242 1359 1656 1774 1812 2416 2484 2661 2718 3312 3473 3548 3624 4077 4968 5322 5436 6946 7096 7248 7983 8154 9936 10419 10644 10872 13892 14192 15966 16308 20401 20838 21288 21744 23949 27784 31257 31932 32616 40802 41676 42576 47898 55568 61203 62514 63864 65232 81604 83352 93771 95796 122406 125028 127728 133937 163208 166704 183609 187542 191592 244812 250056 267874 326416 367218 375084 383184 401811 489624 500112 535748 550827 734436 750168 803622 979248 1071496 1101654 1205433 1468872 1500336 1607244 2142992 2203308 2410866 2937744 3080551 3214488 3616299 4406616 4821732 6161102 6428976 7232598 8813232 9241653 9643464 12322204 14465196 18483306 19286928 24644408 27724959 28930392 36966612 49288816 55449918 57860784 73933224 83174877 110899836 147866448 166349754 221799672 332699508 443599344 665399016 1330798032