Search a number
-
+
20264290020 = 22365131719331
BaseRepresentation
bin10010110111110110…
…001000011011100100
31221022020211121000000
4102313312020123210
5313000124240040
613150450021300
71315111423512
oct226766103344
957266747000
1020264290020
118659733027
123b16577830
131bac381770
14da34414b2
157d9074130
hex4b7d886e4

20264290020 has 672 divisors, whose sum is σ = 76813591680. Its totient is φ = 4434186240.

The previous prime is 20264290019. The next prime is 20264290021. The reversal of 20264290020 is 2009246202.

It is an interprime number because it is at equal distance from previous prime (20264290019) and next prime (20264290021).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20264290021) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 61221255 + ... + 61221585.

It is an arithmetic number, because the mean of its divisors is an integer number (114305940).

Almost surely, 220264290020 is an apocalyptic number.

20264290020 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 20264290020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38406795840).

20264290020 is an abundant number, since it is smaller than the sum of its proper divisors (56549301660).

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

20264290020 is a wasteful number, since it uses less digits than its factorization.

20264290020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 20264290020 in words is "twenty billion, two hundred sixty-four million, two hundred ninety thousand, twenty".