Search a number
-
+
5113420224 = 2631115531559
BaseRepresentation
bin1001100001100100…
…01001100111000000
3111012100210122212020
410300302021213000
540433013421344
62203222201440
7240500232453
oct46062114700
914170718766
105113420224
112194435330
12ba8583280
136364c0953
1436718749a
151eddac719
hex130c899c0

5113420224 has 112 divisors (see below), whose sum is σ = 14778167040. Its totient is φ = 1547530240.

The previous prime is 5113420211. The next prime is 5113420229. The reversal of 5113420224 is 4220243115.

It is a super-2 number, since 2×51134202242 = 52294132774424420352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 5113420194 and 5113420203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5113420229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3279157 + ... + 3280715.

It is an arithmetic number, because the mean of its divisors is an integer number (131947920).

Almost surely, 25113420224 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 5113420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7389083520).

5113420224 is an abundant number, since it is smaller than the sum of its proper divisors (9664746816).

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

5113420224 is a wasteful number, since it uses less digits than its factorization.

5113420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5113420224 is about 71508.1829163628. The cubic root of 5113420224 is about 1722.8091179390.

Adding to 5113420224 its reverse (4220243115), we get a palindrome (9333663339).

The spelling of 5113420224 in words is "five billion, one hundred thirteen million, four hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 1553 1559 2112 3106 3118 4659 4677 6212 6236 9318 9354 12424 12472 17083 17149 18636 18708 24848 24944 34166 34298 37272 37416 49696 49888 51249 51447 68332 68596 74544 74832 99392 99776 102498 102894 136664 137192 149088 149664 204996 205788 273328 274384 298176 299328 409992 411576 546656 548768 819984 823152 1093312 1097536 1639968 1646304 2421127 3279936 3292608 4842254 7263381 9684508 14526762 19369016 26632397 29053524 38738032 53264794 58107048 77476064 79897191 106529588 116214096 154952128 159794382 213059176 232428192 319588764 426118352 464856384 639177528 852236704 1278355056 1704473408 2556710112 5113420224