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1331947320 = 2335114124611
BaseRepresentation
bin100111101100011…
…1110011100111000
310102211021221020020
41033120332130320
510211434303240
6340100130440
745002236224
oct11730763470
93384257206
101331947320
11623938810
12312096a20
13182c42412
14c8c79784
157be010d0
hex4f63e738

1331947320 has 128 divisors (see below), whose sum is σ = 4465601280. Its totient is φ = 315008000.

The previous prime is 1331947303. The next prime is 1331947321. The reversal of 1331947320 is 237491331.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331947321) 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, 41815 + ... + 66425.

It is an arithmetic number, because the mean of its divisors is an integer number (34887510).

Almost surely, 21331947320 is an apocalyptic number.

1331947320 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 1331947320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232800640).

1331947320 is an abundant number, since it is smaller than the sum of its proper divisors (3133653960).

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

1331947320 is a wasteful number, since it uses less digits than its factorization.

1331947320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24677 (or 24673 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 1331947320 is about 36495.8534630991. The cubic root of 1331947320 is about 1100.2609078076.

The spelling of 1331947320 in words is "one billion, three hundred thirty-one million, nine hundred forty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 41 44 55 60 66 82 88 110 120 123 132 164 165 205 220 246 264 328 330 410 440 451 492 615 660 820 902 984 1230 1320 1353 1640 1804 2255 2460 2706 3608 4510 4920 5412 6765 9020 10824 13530 18040 24611 27060 49222 54120 73833 98444 123055 147666 196888 246110 270721 295332 369165 492220 541442 590664 738330 812163 984440 1009051 1082884 1353605 1476660 1624326 2018102 2165768 2707210 2953320 3027153 3248652 4036204 4060815 5045255 5414420 6054306 6497304 8072408 8121630 10090510 10828840 11099561 12108612 15135765 16243260 20181020 22199122 24217224 30271530 32486520 33298683 40362040 44398244 55497805 60543060 66597366 88796488 110995610 121086120 133194732 166493415 221991220 266389464 332986830 443982440 665973660 1331947320