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1013333504 = 2937149359
BaseRepresentation
bin111100011001100…
…011111000000000
32121121202200020112
4330121203320000
54033403133004
6244315130452
734053123041
oct7431437000
92547680215
101013333504
11480000507
12243443a28
13131c28131
149881c8c8
155de66e6e
hex3c663e00

1013333504 has 80 divisors (see below), whose sum is σ = 2099196000. Its totient is φ = 488300544.

The previous prime is 1013333459. The next prime is 1013333509. The reversal of 1013333504 is 4053333101.

It is a happy number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1013333504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013333509) by changing a digit.

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, 2822477 + ... + 2822835.

It is an arithmetic number, because the mean of its divisors is an integer number (26239950).

Almost surely, 21013333504 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 1013333504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049598000).

1013333504 is an abundant number, since it is smaller than the sum of its proper divisors (1085862496).

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

1013333504 is an equidigital number, since it uses as much as digits as its factorization.

1013333504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 23.

The square root of 1013333504 is about 31832.8997108338. The cubic root of 1013333504 is about 1004.4248927779.

Adding to 1013333504 its reverse (4053333101), we get a palindrome (5066666605).

The spelling of 1013333504 in words is "one billion, thirteen million, three hundred thirty-three thousand, five hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 149 256 296 298 359 512 592 596 718 1184 1192 1436 2368 2384 2872 4736 4768 5513 5744 9472 9536 11026 11488 13283 18944 19072 22052 22976 26566 38144 44104 45952 53132 53491 76288 88208 91904 106264 106982 176416 183808 212528 213964 352832 425056 427928 705664 850112 855856 1411328 1700224 1711712 1979167 2822656 3400448 3423424 3958334 6800896 6846848 7916668 13693696 15833336 27387392 31666672 63333344 126666688 253333376 506666752 1013333504