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1327683096 = 2333231791493
BaseRepresentation
bin100111100100010…
…1101011000011000
310102112021021211000
41033020231120120
510204341324341
6335424505000
744621056125
oct11710553030
93375237730
101327683096
11621495a63
1231077b160
131820ab4cc
14c848974c
157b85c8b6
hex4f22d618

1327683096 has 128 divisors (see below), whose sum is σ = 3872448000. Its totient is φ = 420672384.

The previous prime is 1327683089. The next prime is 1327683143. The reversal of 1327683096 is 6903867231.

It is a congruent number.

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, 888526 + ... + 890018.

It is an arithmetic number, because the mean of its divisors is an integer number (30253500).

Almost surely, 21327683096 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 1327683096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936224000).

1327683096 is an abundant number, since it is smaller than the sum of its proper divisors (2544764904).

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

1327683096 is a wasteful number, since it uses less digits than its factorization.

1327683096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1327683096 is about 36437.3859655162. The cubic root of 1327683096 is about 1099.0854922574.

The spelling of 1327683096 in words is "one billion, three hundred twenty-seven million, six hundred eighty-three thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 179 184 207 216 276 358 414 537 552 621 716 828 1074 1242 1432 1493 1611 1656 2148 2484 2986 3222 4117 4296 4479 4833 4968 5972 6444 8234 8958 9666 11944 12351 12888 13437 16468 17916 19332 24702 26874 32936 34339 35832 37053 38664 40311 49404 53748 68678 74106 80622 98808 103017 107496 111159 137356 148212 161244 206034 222318 267247 274712 296424 309051 322488 412068 444636 534494 618102 801741 824136 889272 927153 1068988 1236204 1603482 1854306 2137976 2405223 2472408 3206964 3708612 4810446 6146681 6413928 7215669 7417224 9620892 12293362 14431338 18440043 19241784 24586724 28862676 36880086 49173448 55320129 57725352 73760172 110640258 147520344 165960387 221280516 331920774 442561032 663841548 1327683096