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20728461060 = 22335148125919
BaseRepresentation
bin10011010011100000…
…110011011100000100
31222111121020220222000
4103103200303130010
5314422441223220
613304510505300
71332446004036
oct232340633404
958447226860
1020728461060
11887774865a
124025b05230
131c545a0698
141008d4bc56
15814bb1390
hex4d3833704

20728461060 has 96 divisors (see below), whose sum is σ = 64534579200. Its totient is φ = 5523644160.

The previous prime is 20728461043. The next prime is 20728461077. The reversal of 20728461060 is 6016482702.

It is an interprime number because it is at equal distance from previous prime (20728461043) and next prime (20728461077).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 786781 + ... + 812699.

It is an arithmetic number, because the mean of its divisors is an integer number (672235200).

Almost surely, 220728461060 is an apocalyptic number.

20728461060 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 20728461060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32267289600).

20728461060 is an abundant number, since it is smaller than the sum of its proper divisors (43806118140).

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

20728461060 is a wasteful number, since it uses less digits than its factorization.

20728461060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27418 (or 27410 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 20728461060 in words is "twenty billion, seven hundred twenty-eight million, four hundred sixty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1481 2962 4443 5924 7405 8886 13329 14810 17772 22215 25919 26658 29620 39987 44430 51838 53316 66645 77757 79974 88860 103676 129595 133290 155514 159948 199935 233271 259190 266580 311028 388785 399870 466542 518380 699813 777570 799740 933084 1166355 1399626 1555140 2332710 2799252 3499065 4665420 6998130 13996260 38386039 76772078 115158117 153544156 191930195 230316234 345474351 383860390 460632468 575790585 690948702 767720780 1036423053 1151581170 1381897404 1727371755 2072846106 2303162340 3454743510 4145692212 5182115265 6909487020 10364230530 20728461060