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20401024320 = 263257083689
BaseRepresentation
bin10010111111111111…
…101110110101000000
31221122210010102012100
4102333333232311000
5313240130234240
613212212430400
71321361563005
oct227777566500
957583112170
1020401024320
118719934586
123b54318400
131c017b7531
14db76758ac
157e6082e30
hex4bffeed40

20401024320 has 84 divisors (see below), whose sum is σ = 70171033140. Its totient is φ = 5440272384.

The previous prime is 20401024297. The next prime is 20401024321. The reversal of 20401024320 is 2342010402.

20401024320 is a `hidden beast` number, since 2 + 0 + 401 + 0 + 243 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3065615424 + 17335408896 = 55368^2 + 131664^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 20401024293 and 20401024302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20401024321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3538965 + ... + 3544724.

Almost surely, 220401024320 is an apocalyptic number.

20401024320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20401024320 is an abundant number, since it is smaller than the sum of its proper divisors (49770008820).

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

20401024320 is a wasteful number, since it uses less digits than its factorization.

20401024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7083712 (or 7083699 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20401024320 its reverse (2342010402), we get a palindrome (22743034722).

The spelling of 20401024320 in words is "twenty billion, four hundred one million, twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 7083689 14167378 21251067 28334756 35418445 42502134 56669512 63753201 70836890 85004268 106255335 113339024 127506402 141673780 170008536 212510670 226678048 255012804 283347560 318766005 340017072 425021340 453356096 510025608 566695120 637532010 680034144 850042680 1020051216 1133390240 1275064020 1360068288 1700085360 2040102432 2266780480 2550128040 3400170720 4080204864 5100256080 6800341440 10200512160 20401024320