Search a number
-
+
13303740320 = 2551317376237
BaseRepresentation
bin11000110001111011…
…01111011110100000
31021100011100000211222
430120331233132200
5204221224142240
610040041154212
7650451632633
oct143075573640
937304300758
1013303740320
115707684012
1226b348b968
1313402ac0c0
14902c33c1a
1552ce4deb5
hex318f6f7a0

13303740320 has 96 divisors (see below), whose sum is σ = 35838926928. Its totient is φ = 4623187968.

The previous prime is 13303740299. The next prime is 13303740349. The reversal of 13303740320 is 2304730331.

It can be written as a sum of positive squares in 8 ways, for example, as 9069895696 + 4233844624 = 95236^2 + 65068^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 13303740320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152759 + ... + 223478.

Almost surely, 213303740320 is an apocalyptic number.

13303740320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13303740320 is an abundant number, since it is smaller than the sum of its proper divisors (22535186608).

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

13303740320 is a wasteful number, since it uses less digits than its factorization.

13303740320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376282 (or 376274 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 26.

The spelling of 13303740320 in words is "thirteen billion, three hundred three million, seven hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 65 68 80 85 104 130 136 160 170 208 221 260 272 340 416 442 520 544 680 884 1040 1105 1360 1768 2080 2210 2720 3536 4420 7072 8840 17680 35360 376237 752474 1504948 1881185 3009896 3762370 4891081 6019792 6396029 7524740 9782162 12039584 12792058 15049480 19564324 24455405 25584116 30098960 31980145 39128648 48910810 51168232 60197920 63960290 78257296 83148377 97821620 102336464 127920580 156514592 166296754 195643240 204672928 255841160 332593508 391286480 415741885 511682320 665187016 782572960 831483770 1023364640 1330374032 1662967540 2660748064 3325935080 6651870160 13303740320