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1326940272 = 24337736011
BaseRepresentation
bin100111100010111…
…1000000001110000
310102110212112212000
41033011320001300
510204144042042
6335400534000
744611543350
oct11705700160
93373775760
101326940272
11621028959
12310481300
13181bab378
14c8334b60
157b76274c
hex4f178070

1326940272 has 160 divisors (see below), whose sum is σ = 4413288960. Its totient is φ = 373870080.

The previous prime is 1326940261. The next prime is 1326940289. The reversal of 1326940272 is 2720496231.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 217747 + ... + 223757.

It is an arithmetic number, because the mean of its divisors is an integer number (27583056).

Almost surely, 21326940272 is an apocalyptic number.

1326940272 is a gapful number since it is divisible by the number (12) 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 1326940272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206644480).

1326940272 is an abundant number, since it is smaller than the sum of its proper divisors (3086348688).

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

1326940272 is a wasteful number, since it uses less digits than its factorization.

1326940272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6108 (or 6096 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1326940272 is about 36427.1913822628. The cubic root of 1326940272 is about 1098.8804786282.

The spelling of 1326940272 in words is "one billion, three hundred twenty-six million, nine hundred forty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 73 84 108 112 126 144 146 168 189 216 219 252 292 336 378 432 438 504 511 584 657 756 876 1008 1022 1168 1314 1512 1533 1752 1971 2044 2628 3024 3066 3504 3942 4088 4599 5256 6011 6132 7884 8176 9198 10512 12022 12264 13797 15768 18033 18396 24044 24528 27594 31536 36066 36792 42077 48088 54099 55188 72132 73584 84154 96176 108198 110376 126231 144264 162297 168308 216396 220752 252462 288528 324594 336616 378693 432792 438803 504924 649188 673232 757386 865584 877606 1009848 1136079 1298376 1316409 1514772 1755212 2019696 2272158 2596752 2632818 3029544 3071621 3510424 3949227 4544316 5265636 6059088 6143242 7020848 7898454 9088632 9214863 10531272 11847681 12286484 15796908 18177264 18429726 21062544 23695362 24572968 27644589 31593816 36859452 47390724 49145936 55289178 63187632 73718904 82933767 94781448 110578356 147437808 165867534 189562896 221156712 331735068 442313424 663470136 1326940272