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1325832816 = 243711232611
BaseRepresentation
bin100111100000110…
…1001101001110000
310102101210021201010
41033001221221300
510203403122231
6335321110520
744566251540
oct11701515160
93371707633
101325832816
11620441900
12310028440
131818b1279
14c8127320
157b5e4546
hex4f069a70

1325832816 has 120 divisors (see below), whose sum is σ = 4302696832. Its totient is φ = 344361600.

The previous prime is 1325832811. The next prime is 1325832829. The reversal of 1325832816 is 6182385231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325832811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24351 + ... + 56961.

Almost surely, 21325832816 is an apocalyptic number.

1325832816 is a gapful number since it is divisible by the number (16) 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 1325832816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151348416).

1325832816 is an abundant number, since it is smaller than the sum of its proper divisors (2976864016).

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

1325832816 is a wasteful number, since it uses less digits than its factorization.

1325832816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32651 (or 32634 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 1325832816 is about 36411.9872569460. The cubic root of 1325832816 is about 1098.5746872980.

The spelling of 1325832816 in words is "one billion, three hundred twenty-five million, eight hundred thirty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 121 132 154 168 176 231 242 264 308 336 363 462 484 528 616 726 847 924 968 1232 1452 1694 1848 1936 2541 2904 3388 3696 5082 5808 6776 10164 13552 20328 32611 40656 65222 97833 130444 195666 228277 260888 358721 391332 456554 521776 684831 717442 782664 913108 1076163 1369662 1434884 1565328 1826216 2152326 2511047 2739324 2869768 3652432 3945931 4304652 5022094 5478648 5739536 7533141 7891862 8609304 10044188 10957296 11837793 15066282 15783724 17218608 20088376 23675586 27621517 30132564 31567448 40176752 47351172 55243034 60265128 63134896 82864551 94702344 110486068 120530256 165729102 189404688 220972136 331458204 441944272 662916408 1325832816