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20420130432 = 273135996829
BaseRepresentation
bin10011000001001000…
…100111011010000000
31221201010002002212010
4103001020213122000
5313310023133212
613214134132520
71322013146652
oct230110473200
957633062763
1020420130432
1187296a4259
123b5a7b1140
131c05746b20
14dba00a6d2
157e7aa903c
hex4c1227680

20420130432 has 128 divisors (see below), whose sum is σ = 58519440000. Its totient is φ = 6271709184.

The previous prime is 20420130421. The next prime is 20420130461. The reversal of 20420130432 is 23403102402.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 20420130399 and 20420130408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2986794 + ... + 2993622.

It is an arithmetic number, because the mean of its divisors is an integer number (457183125).

Almost surely, 220420130432 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 20420130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29259720000).

20420130432 is an abundant number, since it is smaller than the sum of its proper divisors (38099309568).

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

20420130432 is a wasteful number, since it uses less digits than its factorization.

20420130432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7458 (or 7446 counting only the distinct ones).

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

Adding to 20420130432 its reverse (23403102402), we get a palindrome (43823232834).

The spelling of 20420130432 in words is "twenty billion, four hundred twenty million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 599 624 832 1198 1248 1664 1797 2396 2496 3594 4792 4992 6829 7188 7787 9584 13658 14376 15574 19168 20487 23361 27316 28752 31148 38336 40974 46722 54632 57504 62296 76672 81948 88777 93444 109264 115008 124592 163896 177554 186888 218528 230016 249184 266331 327792 355108 373776 437056 498368 532662 655584 710216 747552 874112 996736 1065324 1311168 1420432 1495104 2130648 2622336 2840864 2990208 4090571 4261296 5681728 8181142 8522592 11363456 12271713 16362284 17045184 24543426 32724568 34090368 49086852 53177423 65449136 98173704 106354846 130898272 159532269 196347408 212709692 261796544 319064538 392694816 425419384 523593088 638129076 785389632 850838768 1276258152 1570779264 1701677536 2552516304 3403355072 5105032608 6806710144 10210065216 20420130432