Search a number
-
+
20310998400 = 2733527114371
BaseRepresentation
bin10010111010101000…
…010011110110000000
31221102111201121212000
4102322220103312000
5313044103422100
613155235104000
71316216431530
oct227250236600
957374647760
1020310998400
1186830357a0
123b2a142000
131bb8c56864
14da971d4c0
157dd1ed900
hex4baa13d80

20310998400 has 1536 divisors, whose sum is σ = 96165273600. Its totient is φ = 4064256000.

The previous prime is 20310998381. The next prime is 20310998459. The reversal of 20310998400 is 489901302.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 286070365 + ... + 286070435.

It is an arithmetic number, because the mean of its divisors is an integer number (62607600).

Almost surely, 220310998400 is an apocalyptic number.

20310998400 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 20310998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48082636800).

20310998400 is an abundant number, since it is smaller than the sum of its proper divisors (75854275200).

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

20310998400 is a wasteful number, since it uses less digits than its factorization.

20310998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 20310998400 in words is "twenty billion, three hundred ten million, nine hundred ninety-eight thousand, four hundred".