Search a number
-
+
5370825684 = 2237198937811
BaseRepresentation
bin1010000000010000…
…00100101111010100
3111212022011012202210
411000020010233110
541444412410214
62244535233420
7250044156630
oct50010045724
914768135683
105370825684
112306766914
12105a818870
13677926c83
1438d42ddc0
152167a5b59
hex140204bd4

5370825684 has 96 divisors (see below), whose sum is σ = 15245798400. Its totient is φ = 1437384960.

The previous prime is 5370825683. The next prime is 5370825697. The reversal of 5370825684 is 4865280735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5370825683) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 123139 + ... + 160949.

It is an arithmetic number, because the mean of its divisors is an integer number (158810400).

Almost surely, 25370825684 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 5370825684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7622899200).

5370825684 is an abundant number, since it is smaller than the sum of its proper divisors (9874972716).

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

5370825684 is a wasteful number, since it uses less digits than its factorization.

5370825684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37933 (or 37931 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The square root of 5370825684 is about 73285.9173647980. The cubic root of 5370825684 is about 1751.2454463783.

The spelling of 5370825684 in words is "five billion, three hundred seventy million, eight hundred twenty-five thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 89 114 133 178 228 266 267 356 399 532 534 623 798 1068 1246 1596 1691 1869 2492 3382 3738 5073 6764 7476 10146 11837 20292 23674 35511 37811 47348 71022 75622 113433 142044 151244 226866 264677 453732 529354 718409 794031 1058708 1436818 1588062 2155227 2873636 3176124 3365179 4310454 5028863 6730358 8620908 10057726 10095537 13460716 15086589 20115452 20191074 23556253 30173178 40382148 47112506 60346356 63938401 70668759 94225012 127876802 141337518 191815203 255753604 282675036 383630406 447568807 767260812 895137614 1342706421 1790275228 2685412842 5370825684