Search a number
-
+
5335768320 = 28356432161
BaseRepresentation
bin1001111100000100…
…10101110100000000
3111202212012010002220
410332002111310000
541411424041240
62241244011040
7246140165601
oct47602256400
914685163086
105335768320
1122989a1793
12104ab30a80
136705a107c
14388905da8
1521367d5d0
hex13e095d00

5335768320 has 144 divisors (see below), whose sum is σ = 17075510592. Its totient is φ = 1420001280.

The previous prime is 5335768307. The next prime is 5335768349. The reversal of 5335768320 is 238675335.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2468040 + ... + 2470200.

Almost surely, 25335768320 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 5335768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8537755296).

5335768320 is an abundant number, since it is smaller than the sum of its proper divisors (11739742272).

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

5335768320 is a wasteful number, since it uses less digits than its factorization.

5335768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The square root of 5335768320 is about 73046.3436456610. The cubic root of 5335768320 is about 1747.4267836152.

The spelling of 5335768320 in words is "five billion, three hundred thirty-five million, seven hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 643 768 960 1280 1286 1920 1929 2161 2572 3215 3840 3858 4322 5144 6430 6483 7716 8644 9645 10288 10805 12860 12966 15432 17288 19290 20576 21610 25720 25932 30864 32415 34576 38580 41152 43220 51440 51864 61728 64830 69152 77160 82304 86440 102880 103728 123456 129660 138304 154320 164608 172880 205760 207456 246912 259320 276608 308640 345760 411520 414912 493824 518640 553216 617280 691520 823040 829824 1037280 1234560 1383040 1389523 1659648 2074560 2469120 2766080 2779046 4149120 4168569 5558092 6947615 8298240 8337138 11116184 13895230 16674276 20842845 22232368 27790460 33348552 41685690 44464736 55580920 66697104 83371380 88929472 111161840 133394208 166742760 177858944 222323680 266788416 333485520 355717888 444647360 533576832 666971040 889294720 1067153664 1333942080 1778589440 2667884160 5335768320