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1328381910 = 233510945137
BaseRepresentation
bin100111100101101…
…0111111111010110
310102120120210102000
41033023113333112
510210031210120
6335451500130
744630026362
oct11713277726
93376523360
101328381910
11621922a99
12310a57646
131822945cb
14c85cc2a2
157b949990
hex4f2d7fd6

1328381910 has 64 divisors (see below), whose sum is σ = 3574929600. Its totient is φ = 350977536.

The previous prime is 1328381909. The next prime is 1328381911. The reversal of 1328381910 is 191838231.

It is an interprime number because it is at equal distance from previous prime (1328381909) and next prime (1328381911).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328381911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6862 + ... + 51998.

It is an arithmetic number, because the mean of its divisors is an integer number (55858275).

Almost surely, 21328381910 is an apocalyptic number.

1328381910 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 1328381910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787464800).

1328381910 is an abundant number, since it is smaller than the sum of its proper divisors (2246547690).

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

1328381910 is a wasteful number, since it uses less digits than its factorization.

1328381910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45262 (or 45256 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1328381910 is about 36446.9739484638. The cubic root of 1328381910 is about 1099.2782896746.

The spelling of 1328381910 in words is "one billion, three hundred twenty-eight million, three hundred eighty-one thousand, nine hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 109 135 218 270 327 545 654 981 1090 1635 1962 2943 3270 4905 5886 9810 14715 29430 45137 90274 135411 225685 270822 406233 451370 677055 812466 1218699 1354110 2031165 2437398 4062330 4919933 6093495 9839866 12186990 14759799 24599665 29519598 44279397 49199330 73798995 88558794 132838191 147597990 221396985 265676382 442793970 664190955 1328381910