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1325982768 = 243117983383
BaseRepresentation
bin100111100001000…
…1110010000110000
310102102001220101220
41033002032100300
510203422422033
6335324225040
744600444655
oct11702162060
93372056356
101325982768
11620534530
1231009b180
131819345b6
14c8165c2c
157b623bb3
hex4f08e430

1325982768 has 160 divisors (see below), whose sum is σ = 3839754240. Its totient is φ = 390923520.

The previous prime is 1325982751. The next prime is 1325982797. The reversal of 1325982768 is 8672895231.

Its product of digits (1451520) is a multiple of the sum of its prime factors (567).

It is a self number, because there is not a number n which added to its sum of digits gives 1325982768.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3461905 + ... + 3462287.

It is an arithmetic number, because the mean of its divisors is an integer number (23998464).

Almost surely, 21325982768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1325982768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919877120).

1325982768 is an abundant number, since it is smaller than the sum of its proper divisors (2513771472).

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

1325982768 is a wasteful number, since it uses less digits than its factorization.

1325982768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 561 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 1325982768 is about 36414.0463008439. The cubic root of 1325982768 is about 1098.6161020876.

The spelling of 1325982768 in words is "one billion, three hundred twenty-five million, nine hundred eighty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 79 83 88 132 158 166 176 237 249 264 316 332 383 474 498 528 632 664 766 869 913 948 996 1149 1264 1328 1532 1738 1826 1896 1992 2298 2607 2739 3064 3476 3652 3792 3984 4213 4596 5214 5478 6128 6557 6952 7304 8426 9192 10428 10956 12639 13114 13904 14608 16852 18384 19671 20856 21912 25278 26228 30257 31789 33704 39342 41712 43824 50556 52456 60514 63578 67408 72127 78684 90771 95367 101112 104912 121028 127156 144254 157368 181542 190734 202224 216381 242056 254312 288508 314736 332827 349679 363084 381468 432762 484112 508624 577016 665654 699358 726168 762936 865524 998481 1049037 1154032 1331308 1398716 1452336 1525872 1731048 1996962 2098074 2511331 2662616 2797432 3462096 3993924 4196148 5022662 5325232 5594864 7533993 7987848 8392296 10045324 15067986 15975696 16784592 20090648 27624641 30135972 40181296 55249282 60271944 82873923 110498564 120543888 165747846 220997128 331495692 441994256 662991384 1325982768