Search a number
-
+
20474106240 = 2735731157313
BaseRepresentation
bin10011000100010110…
…100001000110000000
31221211212122100202010
4103010112201012000
5313412332344430
613223343052520
71323240013560
oct230426410600
957755570663
1020474106240
118757110065
123b748a1140
131c13994a83
14dc325ada0
157ec6bbcb0
hex4c45a1180

20474106240 has 512 divisors, whose sum is σ = 77728112640. Its totient is φ = 4485611520.

The previous prime is 20474106221. The next prime is 20474106311. The reversal of 20474106240 is 4260147402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20474106198 and 20474106207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65412324 + ... + 65412636.

It is an arithmetic number, because the mean of its divisors is an integer number (151812720).

Almost surely, 220474106240 is an apocalyptic number.

20474106240 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 20474106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38864056320).

20474106240 is an abundant number, since it is smaller than the sum of its proper divisors (57254006400).

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

20474106240 is a wasteful number, since it uses less digits than its factorization.

20474106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The spelling of 20474106240 in words is "twenty billion, four hundred seventy-four million, one hundred six thousand, two hundred forty".