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1327032690 = 235731374423
BaseRepresentation
bin100111100011000…
…1110100101110010
310102111001020121220
41033012032211302
510204210021230
6335402525510
744612406654
oct11706164562
93374036556
101327032690
11621091335
12310506896
13181c11459
14c835a6d4
157b77ed10
hex4f18e972

1327032690 has 64 divisors (see below), whose sum is σ = 3252807936. Its totient is φ = 346401792.

The previous prime is 1327032689. The next prime is 1327032701. The reversal of 1327032690 is 962307231.

It is a happy number.

1327032690 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13270326902 = 3522031520657272200, which contains 22 as substring.

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, 297819 + ... + 302241.

It is an arithmetic number, because the mean of its divisors is an integer number (50825124).

Almost surely, 21327032690 is an apocalyptic number.

1327032690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1327032690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626403968).

1327032690 is an abundant number, since it is smaller than the sum of its proper divisors (1925775246).

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

1327032690 is a wasteful number, since it uses less digits than its factorization.

1327032690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4643.

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 1327032690 is about 36428.4598905855. The cubic root of 1327032690 is about 1098.9059894420.

The spelling of 1327032690 in words is "one billion, three hundred twenty-seven million, thirty-two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 73 137 146 219 274 365 411 438 685 730 822 1095 1370 2055 2190 4110 4423 8846 10001 13269 20002 22115 26538 30003 44230 50005 60006 66345 100010 132690 150015 300030 322879 605951 645758 968637 1211902 1614395 1817853 1937274 3029755 3228790 3635706 4843185 6059510 9089265 9686370 18178530 44234423 88468846 132703269 221172115 265406538 442344230 663516345 1327032690