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1013202560 = 2752416569
BaseRepresentation
bin111100011001000…
…011111010000000
32121121112000121202
4330121003322000
54033334440220
6244312240332
734052036216
oct7431037200
92547460552
101013202560
1147aa21097
122433a00a8
13131bb0656
14987c6cb6
155de3d275
hex3c643e80

1013202560 has 64 divisors (see below), whose sum is σ = 2432608200. Its totient is φ = 403537920.

The previous prime is 1013202529. The next prime is 1013202587. The reversal of 1013202560 is 652023101.

It can be written as a sum of positive squares in 4 ways, for example, as 1003115584 + 10086976 = 31672^2 + 3176^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 150956 + ... + 157524.

Almost surely, 21013202560 is an apocalyptic number.

1013202560 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 1013202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216304100).

1013202560 is an abundant number, since it is smaller than the sum of its proper divisors (1419405640).

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

1013202560 is an equidigital number, since it uses as much as digits as its factorization.

1013202560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6829 (or 6817 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1013202560 is about 31830.8429043279. The cubic root of 1013202560 is about 1004.3816266409.

Adding to 1013202560 its reverse (652023101), we get a palindrome (1665225661).

The spelling of 1013202560 in words is "one billion, thirteen million, two hundred two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 241 320 482 640 964 1205 1928 2410 3856 4820 6569 7712 9640 13138 15424 19280 26276 30848 32845 38560 52552 65690 77120 105104 131380 154240 210208 262760 420416 525520 840832 1051040 1583129 2102080 3166258 4204160 6332516 7915645 12665032 15831290 25330064 31662580 50660128 63325160 101320256 126650320 202640512 253300640 506601280 1013202560