Search a number
-
+
537676040 = 235111976203
BaseRepresentation
bin100000000011000…
…100100100001000
31101110201202212102
4200003010210020
52100121113130
6125204132532
716216112426
oct4003044410
91343652772
10537676040
1125655aa70
12130097148
1387516c05
14515a2116
153230b645
hex200c4908

537676040 has 64 divisors (see below), whose sum is σ = 1326663360. Its totient is φ = 194494720.

The previous prime is 537676033. The next prime is 537676067. The reversal of 537676040 is 40676735.

It is a junction number, because it is equal to n+sod(n) for n = 537675985 and 537676003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83579 + ... + 89781.

It is an arithmetic number, because the mean of its divisors is an integer number (20729115).

Almost surely, 2537676040 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 537676040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663331680).

537676040 is an abundant number, since it is smaller than the sum of its proper divisors (788987320).

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

537676040 is a wasteful number, since it uses less digits than its factorization.

537676040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6422 (or 6418 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 38.

The square root of 537676040 is about 23187.8425042090. The cubic root of 537676040 is about 813.1554203405.

The spelling of 537676040 in words is "five hundred thirty-seven million, six hundred seventy-six thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 197 220 394 440 788 985 1576 1970 2167 3940 4334 6203 7880 8668 10835 12406 17336 21670 24812 31015 43340 49624 62030 68233 86680 124060 136466 248120 272932 341165 545864 682330 1221991 1364660 2443982 2729320 4887964 6109955 9775928 12219910 13441901 24439820 26883802 48879640 53767604 67209505 107535208 134419010 268838020 537676040