Search a number
-
+
5140133232 = 2431319735939
BaseRepresentation
bin1001100100110000…
…00011010101110000
3111021020001211012220
410302120003111300
541011333230412
62210014521040
7241243261113
oct46230032560
914236054186
105140133232
1121a85201a3
12bb5506180
1363bbb4770
1436a93c57a
152013d768c
hex132603570

5140133232 has 160 divisors (see below), whose sum is σ = 15261523200. Its totient is φ = 1477564416.

The previous prime is 5140133227. The next prime is 5140133233. The reversal of 5140133232 is 2323310415.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5140133233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 862519 + ... + 868457.

It is an arithmetic number, because the mean of its divisors is an integer number (95384520).

Almost surely, 25140133232 is an apocalyptic number.

5140133232 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5140133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7630761600).

5140133232 is an abundant number, since it is smaller than the sum of its proper divisors (10121389968).

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

5140133232 is a wasteful number, since it uses less digits than its factorization.

5140133232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6055 (or 6049 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 5140133232 is about 71694.7224835971. The cubic root of 5140133232 is about 1725.8039500601.

Adding to 5140133232 its reverse (2323310415), we get a palindrome (7463443647).

The spelling of 5140133232 in words is "five billion, one hundred forty million, one hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 73 76 78 104 114 146 152 156 208 219 228 247 292 304 312 438 456 494 584 624 741 876 912 949 988 1168 1387 1482 1752 1898 1976 2774 2847 2964 3504 3796 3952 4161 5548 5694 5928 5939 7592 8322 11096 11388 11856 11878 15184 16644 17817 18031 22192 22776 23756 33288 35634 36062 45552 47512 54093 66576 71268 72124 77207 95024 108186 112841 142536 144248 154414 216372 225682 231621 285072 288496 308828 338523 432744 433547 451364 463242 617656 677046 865488 867094 902728 926484 1235312 1300641 1354092 1466933 1734188 1805456 1852968 2601282 2708184 2933866 3468376 3705936 4400799 5202564 5416368 5636111 5867732 6936752 8237393 8801598 10405128 11272222 11735464 16474786 16908333 17603196 20810256 22544444 23470928 24712179 32949572 33816666 35206392 45088888 49424358 65899144 67633332 70412784 90177776 98848716 107086109 131798288 135266664 197697432 214172218 270533328 321258327 395394864 428344436 642516654 856688872 1285033308 1713377744 2570066616 5140133232