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5132660040 = 233358775419
BaseRepresentation
bin1001100011110111…
…00010110101001000
3111020201000010221000
410301323202311020
541002430110130
62205150415000
7241122614304
oct46173426510
914221003830
105132660040
1121a4286502
12bb2b01460
1363a499061
14369954d04
1520090d260
hex131ee2d48

5132660040 has 128 divisors (see below), whose sum is σ = 17131536000. Its totient is φ = 1366896384.

The previous prime is 5132660011. The next prime is 5132660047. The reversal of 5132660040 is 400662315.

5132660040 is a `hidden beast` number, since 5 + 13 + 2 + 6 + 600 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5132659986 and 5132660013.

It is not an unprimeable number, because it can be changed into a prime (5132660047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 944451 + ... + 949869.

It is an arithmetic number, because the mean of its divisors is an integer number (133840125).

Almost surely, 25132660040 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 5132660040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8565768000).

5132660040 is an abundant number, since it is smaller than the sum of its proper divisors (11998875960).

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

5132660040 is a wasteful number, since it uses less digits than its factorization.

5132660040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6316 (or 6306 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5132660040 is about 71642.5853804844. The cubic root of 5132660040 is about 1724.9671676171.

The spelling of 5132660040 in words is "five billion, one hundred thirty-two million, six hundred sixty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 877 1080 1754 2631 3508 4385 5262 5419 7016 7893 8770 10524 10838 13155 15786 16257 17540 21048 21676 23679 26310 27095 31572 32514 35080 39465 43352 47358 48771 52620 54190 63144 65028 78930 81285 94716 97542 105240 108380 118395 130056 146313 157860 162570 189432 195084 216760 236790 243855 292626 315720 325140 390168 473580 487710 585252 650280 731565 947160 975420 1170504 1463130 1950840 2926260 4752463 5852520 9504926 14257389 19009852 23762315 28514778 38019704 42772167 47524630 57029556 71286945 85544334 95049260 114059112 128316501 142573890 171088668 190098520 213860835 256633002 285147780 342177336 427721670 513266004 570295560 641582505 855443340 1026532008 1283165010 1710886680 2566330020 5132660040