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1327062672 = 2432134715083
BaseRepresentation
bin100111100011001…
…0101111010010000
310102111002202202100
41033012111322100
510204212001142
6335403320400
744612563245
oct11706257220
93374082670
101327062672
11621101911
12310520100
13181c21cb0
14c83675cc
157b788b4c
hex4f195e90

1327062672 has 120 divisors (see below), whose sum is σ = 4084988544. Its totient is φ = 399612672.

The previous prime is 1327062647. The next prime is 1327062673. The reversal of 1327062672 is 2762607231.

It is a happy number.

1327062672 is a `hidden beast` number, since 1 + 3 + 27 + 0 + 626 + 7 + 2 = 666.

It is a super-2 number, since 2×13270626722 = 3522190670831559168, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1327062673) 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, 80443 + ... + 95525.

Almost surely, 21327062672 is an apocalyptic number.

1327062672 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 1327062672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042494272).

1327062672 is an abundant number, since it is smaller than the sum of its proper divisors (2757925872).

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

1327062672 is a wasteful number, since it uses less digits than its factorization.

1327062672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15157 (or 15148 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 1327062672 is about 36428.8714071682. The cubic root of 1327062672 is about 1098.9142653374.

The spelling of 1327062672 in words is "one billion, three hundred twenty-seven million, sixty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 47 48 52 72 78 94 104 117 141 144 156 188 208 234 282 312 376 423 468 564 611 624 752 846 936 1128 1222 1692 1833 1872 2256 2444 3384 3666 4888 5499 6768 7332 9776 10998 14664 15083 21996 29328 30166 43992 45249 60332 87984 90498 120664 135747 180996 196079 241328 271494 361992 392158 542988 588237 708901 723984 784316 1085976 1176474 1417802 1568632 1764711 2126703 2171952 2352948 2835604 3137264 3529422 4253406 4705896 5671208 6380109 7058844 8506812 9215713 9411792 11342416 12760218 14117688 17013624 18431426 25520436 27647139 28235376 34027248 36862852 51040872 55294278 73725704 82941417 102081744 110588556 147451408 165882834 221177112 331765668 442354224 663531336 1327062672