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1326803040 = 253254671973
BaseRepresentation
bin100111100010101…
…0110100001100000
310102110121120121100
41033011112201200
510204130144130
6335353554400
744610432303
oct11705264140
93373546540
101326803040
11620a44842
12310415a00
13181b60a74
14c82dab3a
157b736c60
hex4f156860

1326803040 has 144 divisors (see below), whose sum is σ = 4539710448. Its totient is φ = 352877568.

The previous prime is 1326803021. The next prime is 1326803081. The reversal of 1326803040 is 403086231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1326802995 and 1326803013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 671494 + ... + 673466.

It is an arithmetic number, because the mean of its divisors is an integer number (31525767).

Almost surely, 21326803040 is an apocalyptic number.

1326803040 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 1326803040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269855224).

1326803040 is an abundant number, since it is smaller than the sum of its proper divisors (3212907408).

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

1326803040 is a wasteful number, since it uses less digits than its factorization.

1326803040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1326803040 is about 36425.3076857286. The cubic root of 1326803040 is about 1098.8425952942.

Adding to 1326803040 its reverse (403086231), we get a palindrome (1729889271).

The spelling of 1326803040 in words is "one billion, three hundred twenty-six million, eight hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 467 480 720 934 1401 1440 1868 1973 2335 2802 3736 3946 4203 4670 5604 5919 7005 7472 7892 8406 9340 9865 11208 11838 14010 14944 15784 16812 17757 18680 19730 21015 22416 23676 28020 29595 31568 33624 35514 37360 39460 42030 44832 47352 56040 59190 63136 67248 71028 74720 78920 84060 88785 94704 112080 118380 134496 142056 157840 168120 177570 189408 224160 236760 284112 315680 336240 355140 473520 568224 672480 710280 921391 947040 1420560 1842782 2764173 2841120 3685564 4606955 5528346 7371128 8292519 9213910 11056692 13820865 14742256 16585038 18427820 22113384 27641730 29484512 33170076 36855640 41462595 44226768 55283460 66340152 73711280 82925190 88453536 110566920 132680304 147422560 165850380 221133840 265360608 331700760 442267680 663401520 1326803040