Search a number
-
+
2030938800 = 2435211532903
BaseRepresentation
bin111100100001101…
…1010101010110000
312020112120101021120
41321003122222300
513124410020200
6533310022240
7101220460242
oct17103325260
95215511246
102030938800
11952459420
124881a7980
132649ba747
14153a30092
15bd4749a0
hex790daab0

2030938800 has 240 divisors, whose sum is σ = 7233608448. Its totient is φ = 482892800.

The previous prime is 2030938787. The next prime is 2030938829. The reversal of 2030938800 is 88390302.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 698149 + ... + 701051.

Almost surely, 22030938800 is an apocalyptic number.

2030938800 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 2030938800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616804224).

2030938800 is an abundant number, since it is smaller than the sum of its proper divisors (5202669648).

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

2030938800 is a wasteful number, since it uses less digits than its factorization.

2030938800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2030938800 is about 45065.9383570341. The cubic root of 2030938800 is about 1266.3845755322.

The spelling of 2030938800 in words is "two billion, thirty million, nine hundred thirty-eight thousand, eight hundred".