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20330032140 = 223251110267693
BaseRepresentation
bin10010111011110000…
…111010110000001100
31221110211112122020100
4102323300322300030
5313113442012030
613201155051100
71316540264505
oct227360726014
957424478210
1020330032140
118692856060
123b345a0a90
131bbcb8c222
14dac075bac
157dec0d360
hex4bbc3ac0c

20330032140 has 72 divisors (see below), whose sum is σ = 67273931088. Its totient is φ = 4928492160.

The previous prime is 20330032123. The next prime is 20330032171. The reversal of 20330032140 is 4123003302.

20330032140 is a `hidden beast` number, since 2 + 0 + 3 + 300 + 321 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5131867 + ... + 5135826.

It is an arithmetic number, because the mean of its divisors is an integer number (934360154).

Almost surely, 220330032140 is an apocalyptic number.

20330032140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20330032140 is an abundant number, since it is smaller than the sum of its proper divisors (46943898948).

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

20330032140 is a wasteful number, since it uses less digits than its factorization.

20330032140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10267719 (or 10267714 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20330032140 its reverse (4123003302), we get a palindrome (24453035442).

The spelling of 20330032140 in words is "twenty billion, three hundred thirty million, thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 10267693 20535386 30803079 41070772 51338465 61606158 92409237 102676930 112944623 123212316 154015395 184818474 205353860 225889246 308030790 338833869 369636948 451778492 462046185 564723115 616061580 677667738 924092370 1016501607 1129446230 1355335476 1694169345 1848184740 2033003214 2258892460 3388338690 4066006428 5082508035 6776677380 10165016070 20330032140