Search a number
-
+
5415126720 = 263521312647
BaseRepresentation
bin1010000101100010…
…00100011011000000
3111222101111221100220
411002301010123000
542042233023340
62253200543040
7251122550313
oct50261043300
914871457326
105415126720
112329774943
121071621a80
13683b683c3
1439528297a
1521a606ed0
hex142c446c0

5415126720 has 112 divisors (see below), whose sum is σ = 17207593728. Its totient is φ = 1442810880.

The previous prime is 5415126683. The next prime is 5415126751. The reversal of 5415126720 is 276215145.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2044437 + ... + 2047083.

Almost surely, 25415126720 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 5415126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8603796864).

5415126720 is an abundant number, since it is smaller than the sum of its proper divisors (11792467008).

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

5415126720 is a wasteful number, since it uses less digits than its factorization.

5415126720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4798 (or 4788 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 5415126720 is about 73587.5445982539. The cubic root of 5415126720 is about 1756.0472933473.

The spelling of 5415126720 in words is "five billion, four hundred fifteen million, one hundred twenty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2131 2647 4262 5294 6393 7941 8524 10588 10655 12786 13235 15882 17048 21176 21310 25572 26470 31764 31965 34096 39705 42352 42620 51144 52940 63528 63930 68192 79410 84704 85240 102288 105880 127056 127860 136384 158820 169408 170480 204576 211760 254112 255720 317640 340960 409152 423520 508224 511440 635280 681920 847040 1022880 1270560 2045760 2541120 5640757 11281514 16922271 22563028 28203785 33844542 45126056 56407570 67689084 84611355 90252112 112815140 135378168 169222710 180504224 225630280 270756336 338445420 361008448 451260560 541512672 676890840 902521120 1083025344 1353781680 1805042240 2707563360 5415126720