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1327320820 = 22574131211
BaseRepresentation
bin100111100011101…
…0100111011110100
310102111120212212101
41033013110323310
510204243231240
6335413031444
744615020000
oct11707247364
93374525771
101327320820
11621268861
12310625584
13181cb2647
14c83d3700
157b7da39a
hex4f1d4ef4

1327320820 has 120 divisors (see below), whose sum is σ = 3292093728. Its totient is φ = 449467200.

The previous prime is 1327320803. The next prime is 1327320833. The reversal of 1327320820 is 280237231.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6290515 + ... + 6290725.

Almost surely, 21327320820 is an apocalyptic number.

1327320820 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 1327320820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646046864).

1327320820 is an abundant number, since it is smaller than the sum of its proper divisors (1964772908).

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

1327320820 is a wasteful number, since it uses less digits than its factorization.

1327320820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 1327320820 is about 36432.4144135411. The cubic root of 1327320820 is about 1098.9855164629.

The spelling of 1327320820 in words is "one billion, three hundred twenty-seven million, three hundred twenty thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 131 140 196 211 245 262 343 422 490 524 655 686 844 917 980 1055 1310 1372 1477 1715 1834 2110 2401 2620 2954 3430 3668 4220 4585 4802 5908 6419 6860 7385 9170 9604 10339 12005 12838 14770 18340 20678 24010 25676 27641 29540 32095 41356 44933 48020 51695 55282 64190 72373 89866 103390 110564 128380 138205 144746 179732 193487 206780 224665 276410 289492 314531 361865 386974 449330 506611 552820 629062 723730 773948 898660 967435 1013222 1258124 1354409 1447460 1572655 1934870 2026444 2533055 2708818 3145310 3869740 5066110 5417636 6290620 6772045 9480863 10132220 13544090 18961726 27088180 37923452 47404315 66366041 94808630 132732082 189617260 265464164 331830205 663660410 1327320820