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5461327340 = 225726139091
BaseRepresentation
bin1010001011000010…
…10011110111101100
3112002121110011200222
411011201103313230
542141044433330
62301531110512
7252223342100
oct50541236754
915077404628
105461327340
112352860077
121084ba2438
136905c3351
1439b46b900
1521e6d10e5
hex145853dec

5461327340 has 72 divisors (see below), whose sum is σ = 13364476272. Its totient is φ = 1869194880.

The previous prime is 5461327331. The next prime is 5461327343. The reversal of 5461327340 is 437231645.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 5461327340.

It is not an unprimeable number, because it can be changed into a prime (5461327343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 596195 + ... + 605285.

It is an arithmetic number, because the mean of its divisors is an integer number (185617726).

Almost surely, 25461327340 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 5461327340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6682238136).

5461327340 is an abundant number, since it is smaller than the sum of its proper divisors (7903148932).

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

5461327340 is a wasteful number, since it uses less digits than its factorization.

5461327340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9727 (or 9718 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 5461327340 is about 73900.7939064257. The cubic root of 5461327340 is about 1761.0272218858.

Adding to 5461327340 its reverse (437231645), we get a palindrome (5898558985).

The spelling of 5461327340 in words is "five billion, four hundred sixty-one million, three hundred twenty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 613 980 1226 2452 3065 4291 6130 8582 9091 12260 17164 18182 21455 30037 36364 42910 45455 60074 63637 85820 90910 120148 127274 150185 181820 254548 300370 318185 445459 600740 636370 890918 1272740 1781836 2227295 4454590 5572783 8909180 11145566 22291132 27863915 39009481 55727830 78018962 111455660 156037924 195047405 273066367 390094810 546132734 780189620 1092265468 1365331835 2730663670 5461327340