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20323046040 = 233511110913883
BaseRepresentation
bin10010111011010110…
…010001001010011000
31221110100101201002220
4102323112101022120
5313110144433130
613200345224040
71316424020043
oct227326211230
957410351086
1020323046040
118689914320
123b32192020
131bbb5b443b
14dab177c5a
157de2cd410
hex4bb591298

20323046040 has 128 divisors (see below), whose sum is σ = 66576556800. Its totient is φ = 4922001920.

The previous prime is 20323046027. The next prime is 20323046041. The reversal of 20323046040 is 4064032302.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20323046040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20323046041) 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, 1456939 + ... + 1470821.

It is an arithmetic number, because the mean of its divisors is an integer number (520129350).

Almost surely, 220323046040 is an apocalyptic number.

20323046040 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 20323046040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33288278400).

20323046040 is an abundant number, since it is smaller than the sum of its proper divisors (46253510760).

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

20323046040 is a wasteful number, since it uses less digits than its factorization.

20323046040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15017 (or 15013 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 20323046040 its reverse (4064032302), we get a palindrome (24387078342).

The spelling of 20323046040 in words is "twenty billion, three hundred twenty-three million, forty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1109 1320 2218 3327 4436 5545 6654 8872 11090 12199 13308 13883 16635 22180 24398 26616 27766 33270 36597 41649 44360 48796 55532 60995 66540 69415 73194 83298 97592 111064 121990 133080 138830 146388 152713 166596 182985 208245 243980 277660 292776 305426 333192 365970 416490 458139 487960 555320 610852 731940 763565 832980 916278 1221704 1463880 1527130 1665960 1832556 2290695 3054260 3665112 4581390 6108520 9162780 15396247 18325560 30792494 46188741 61584988 76981235 92377482 123169976 153962470 169358717 184754964 230943705 307924940 338717434 369509928 461887410 508076151 615849880 677434868 846793585 923774820 1016152302 1354869736 1693587170 1847549640 2032304604 2540380755 3387174340 4064609208 5080761510 6774348680 10161523020 20323046040