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20324132040 = 2335199419473
BaseRepresentation
bin10010111011011010…
…011010010011001000
31221110102102212211010
4102323122122103020
5313110434211130
613200424403520
71316436162162
oct227332322310
957412385733
1020324132040
11868a496243
123b326165a0
131bbb8a4844
14dab37b932
157de4450b0
hex4bb69a4c8

20324132040 has 128 divisors (see below), whose sum is σ = 64256457600. Its totient is φ = 5128519680.

The previous prime is 20324132029. The next prime is 20324132047. The reversal of 20324132040 is 4023142302.

It is a junction number, because it is equal to n+sod(n) for n = 20324131998 and 20324132016.

It is not an unprimeable number, because it can be changed into a prime (20324132047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2140744 + ... + 2150216.

It is an arithmetic number, because the mean of its divisors is an integer number (502003575).

Almost surely, 220324132040 is an apocalyptic number.

20324132040 is a gapful number since it is divisible by the number (20) 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 20324132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32128228800).

20324132040 is an abundant number, since it is smaller than the sum of its proper divisors (43932325560).

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

20324132040 is a wasteful number, since it uses less digits than its factorization.

20324132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10447 (or 10443 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 20324132040 its reverse (4023142302), we get a palindrome (24347274342).

The spelling of 20324132040 in words is "twenty billion, three hundred twenty-four million, one hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 941 1140 1882 2280 2823 3764 4705 5646 7528 9410 9473 11292 14115 17879 18820 18946 22584 28230 28419 35758 37640 37892 47365 53637 56460 56838 71516 75784 89395 94730 107274 112920 113676 142095 143032 178790 179987 189460 214548 227352 268185 284190 357580 359974 378920 429096 536370 539961 568380 715160 719948 899935 1072740 1079922 1136760 1439896 1799870 2145480 2159844 2699805 3599740 4319688 5399610 7199480 8914093 10799220 17828186 21598440 26742279 35656372 44570465 53484558 71312744 89140930 106969116 133711395 169367767 178281860 213938232 267422790 338735534 356563720 508103301 534845580 677471068 846838835 1016206602 1069691160 1354942136 1693677670 2032413204 2540516505 3387355340 4064826408 5081033010 6774710680 10162066020 20324132040