Search a number
-
+
5124071340 = 223459533319
BaseRepresentation
bin1001100010110101…
…10001111110101100
3111020002211210110000
410301122301332230
540443230240330
62204242344300
7240656613333
oct46132617654
914202753400
105124071340
11219a44a703
12bb005b090
1363877c99b
1436875ad1a
151eecb3560
hex1316b1fac

5124071340 has 120 divisors (see below), whose sum is σ = 16096116960. Its totient is φ = 1364573952.

The previous prime is 5124071333. The next prime is 5124071347. The reversal of 5124071340 is 431704215.

5124071340 is a `hidden beast` number, since 512 + 40 + 71 + 3 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5124071333) and next prime (5124071347).

It is a super-2 number, since 2×51240713402 = 52512214194818791200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5124071347) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1542201 + ... + 1545519.

It is an arithmetic number, because the mean of its divisors is an integer number (134134308).

Almost surely, 25124071340 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 5124071340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8048058480).

5124071340 is an abundant number, since it is smaller than the sum of its proper divisors (10972045620).

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

5124071340 is a wasteful number, since it uses less digits than its factorization.

5124071340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4293 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5124071340 is about 71582.6189797495. The cubic root of 5124071340 is about 1724.0044766187.

Adding to 5124071340 its reverse (431704215), we get a palindrome (5555775555).

It can be divided in two parts, 51 and 24071340, that added together give a triangular number (24071391 = T6938).

The spelling of 5124071340 in words is "five billion, one hundred twenty-four million, seventy-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 953 1620 1906 2859 3319 3812 4765 5718 6638 8577 9530 9957 11436 13276 14295 16595 17154 19060 19914 25731 28590 29871 33190 34308 39828 42885 49785 51462 57180 59742 66380 77193 85770 89613 99570 102924 119484 128655 149355 154386 171540 179226 199140 257310 268839 298710 308772 358452 385965 448065 514620 537678 597420 771930 896130 1075356 1344195 1543860 1792260 2688390 3163007 5376780 6326014 9489021 12652028 15815035 18978042 28467063 31630070 37956084 47445105 56934126 63260140 85401189 94890210 113868252 142335315 170802378 189780420 256203567 284670630 341604756 427005945 512407134 569341260 854011890 1024814268 1281017835 1708023780 2562035670 5124071340