Search a number
-
+
2378401820 = 2251091109001
BaseRepresentation
bin1000110111000011…
…1000100000011100
320010202101022221022
42031300320200130
514332332324240
61032001223312
7112640040044
oct21560704034
96122338838
102378401820
111010600543
12564631b38
132bb995c72
14187c3a724
15ddc0b9b5
hex8dc3881c

2378401820 has 24 divisors (see below), whose sum is σ = 4999267728. Its totient is φ = 950480000.

The previous prime is 2378401811. The next prime is 2378401843. The reversal of 2378401820 is 281048732.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32681 + ... + 76320.

It is an arithmetic number, because the mean of its divisors is an integer number (208302822).

Almost surely, 22378401820 is an apocalyptic number.

2378401820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2378401820 is an abundant number, since it is smaller than the sum of its proper divisors (2620865908).

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

2378401820 is a wasteful number, since it uses less digits than its factorization.

2378401820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110101 (or 110099 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 2378401820 is about 48768.8611718584. The cubic root of 2378401820 is about 1334.8375325393.

The spelling of 2378401820 in words is "two billion, three hundred seventy-eight million, four hundred one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 1091 2182 4364 5455 10910 21820 109001 218002 436004 545005 1090010 2180020 118920091 237840182 475680364 594600455 1189200910 2378401820