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1921939420 = 225175999437
BaseRepresentation
bin111001010001110…
…0111011111011100
311221221110122020111
41302203213133130
512414004030140
6514413455404
765425133632
oct16243473734
94857418214
101921939420
118a6980595
124577a1564
1324824597b
14143379352
15b3ae37ea
hex728e77dc

1921939420 has 48 divisors (see below), whose sum is σ = 4281076800. Its totient is φ = 722269184.

The previous prime is 1921939351. The next prime is 1921939427. The reversal of 1921939420 is 249391291.

It is a super-2 number, since 2×19219394202 = 7387702268299872800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1921939427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198942 + ... + 208378.

It is an arithmetic number, because the mean of its divisors is an integer number (89189100).

Almost surely, 21921939420 is an apocalyptic number.

1921939420 is a gapful number since it is divisible by the number (10) 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 1921939420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140538400).

1921939420 is an abundant number, since it is smaller than the sum of its proper divisors (2359137380).

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

1921939420 is a wasteful number, since it uses less digits than its factorization.

1921939420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10062 (or 10060 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 1921939420 is about 43839.9295163667. The cubic root of 1921939420 is about 1243.3113496693.

The spelling of 1921939420 in words is "one billion, nine hundred twenty-one million, nine hundred thirty-nine thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 599 1198 2396 2995 5990 9437 10183 11980 18874 20366 37748 40732 47185 50915 94370 101830 160429 188740 203660 320858 641716 802145 1604290 3208580 5652763 11305526 22611052 28263815 56527630 96096971 113055260 192193942 384387884 480484855 960969710 1921939420