Search a number
-
+
10327483520 = 27518189153
BaseRepresentation
bin10011001111001000…
…01110010010000000
3222122201222112001122
421213210032102000
5132122313433040
64424441451412
7513632106254
oct114744162200
928581875048
1010327483520
11441a660252
1220027a0b68
13c877bb9c3
146dd84c264
154069ea1b5
hex26790e480

10327483520 has 64 divisors (see below), whose sum is σ = 24825822840. Its totient is φ = 4108124160.

The previous prime is 10327483519. The next prime is 10327483541. The reversal of 10327483520 is 2538472301.

It can be written as a sum of positive squares in 4 ways, for example, as 3541678144 + 6785805376 = 59512^2 + 82376^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71264 + ... + 160416.

Almost surely, 210327483520 is an apocalyptic number.

10327483520 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 10327483520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12412911420).

10327483520 is an abundant number, since it is smaller than the sum of its proper divisors (14498339320).

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

10327483520 is an equidigital number, since it uses as much as digits as its factorization.

10327483520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89353 (or 89341 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 10327483520 in words is "ten billion, three hundred twenty-seven million, four hundred eighty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 181 320 362 640 724 905 1448 1810 2896 3620 5792 7240 11584 14480 23168 28960 57920 89153 115840 178306 356612 445765 713224 891530 1426448 1783060 2852896 3566120 5705792 7132240 11411584 14264480 16136693 28528960 32273386 57057920 64546772 80683465 129093544 161366930 258187088 322733860 516374176 645467720 1032748352 1290935440 2065496704 2581870880 5163741760 10327483520