Search a number
-
+
20034502400 = 285211241631
BaseRepresentation
bin10010101010001001…
…100011111100000000
31220201020110011122102
4102222021203330000
5312012313034100
613112000525532
71306321313663
oct225211437400
956636404572
1020034502400
118550a55200
123a716208a8
131b73898063
14d80b076da
157c3cd3cd5
hex4aa263f00

20034502400 has 324 divisors, whose sum is σ = 55924306032. Its totient is φ = 7096320000.

The previous prime is 20034502393. The next prime is 20034502421. The reversal of 20034502400 is 420543002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31750085 + ... + 31750715.

Almost surely, 220034502400 is an apocalyptic number.

20034502400 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 20034502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27962153016).

20034502400 is an abundant number, since it is smaller than the sum of its proper divisors (35889803632).

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

20034502400 is a wasteful number, since it uses less digits than its factorization.

20034502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The spelling of 20034502400 in words is "twenty billion, thirty-four million, five hundred two thousand, four hundred".