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1331642070 = 2325114728619
BaseRepresentation
bin100111101011111…
…0011111011010110
310102210201102111200
41033113303323112
510211400021240
6340045413330
744666525253
oct11727637326
93383642450
101331642070
1162374a440
12311b6a246
13182b664b5
14c8bda42a
157bd90930
hex4f5f3ed6

1331642070 has 96 divisors (see below), whose sum is σ = 3857518080. Its totient is φ = 315942720.

The previous prime is 1331642057. The next prime is 1331642077. The reversal of 1331642070 is 702461331.

1331642070 is a `hidden beast` number, since 13 + 3 + 1 + 642 + 0 + 7 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331642077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32221 + ... + 60839.

It is an arithmetic number, because the mean of its divisors is an integer number (40182480).

Almost surely, 21331642070 is an apocalyptic number.

1331642070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331642070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928759040).

1331642070 is an abundant number, since it is smaller than the sum of its proper divisors (2525876010).

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

1331642070 is a wasteful number, since it uses less digits than its factorization.

1331642070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28690 (or 28687 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1331642070 is about 36491.6712415313. The cubic root of 1331642070 is about 1100.1768503536.

The spelling of 1331642070 in words is "one billion, three hundred thirty-one million, six hundred forty-two thousand, seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 47 55 66 90 94 99 110 141 165 198 235 282 330 423 470 495 517 705 846 990 1034 1410 1551 2115 2585 3102 4230 4653 5170 7755 9306 15510 23265 28619 46530 57238 85857 143095 171714 257571 286190 314809 429285 515142 629618 858570 944427 1287855 1345093 1574045 1888854 2575710 2690186 2833281 3148090 4035279 4722135 5666562 6725465 8070558 9444270 12105837 13450930 14166405 14796023 20176395 24211674 28332810 29592046 40352790 44388069 60529185 73980115 88776138 121058370 133164207 147960230 221940345 266328414 443880690 665821035 1331642070