Search a number
-
+
1053939120 = 2435131923773
BaseRepresentation
bin111110110100011…
…101010110110000
32201110011122200020
4332310131112300
54124302022440
6252325323440
735055222543
oct7664352660
92643148606
101053939120
114a0a15073
12254b66580
1313a474520
149dd8c85a
15627d83d0
hex3ed1d5b0

1053939120 has 320 divisors, whose sum is σ = 3869752320. Its totient is φ = 234786816.

The previous prime is 1053939119. The next prime is 1053939127. The reversal of 1053939120 is 219393501.

It is a super-2 number, since 2×10539391202 = 2221575337332748800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053939127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1363054 + ... + 1363826.

It is an arithmetic number, because the mean of its divisors is an integer number (12092976).

Almost surely, 21053939120 is an apocalyptic number.

1053939120 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 1053939120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934876160).

1053939120 is an abundant number, since it is smaller than the sum of its proper divisors (2815813200).

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

1053939120 is a wasteful number, since it uses less digits than its factorization.

1053939120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 33.

The square root of 1053939120 is about 32464.4285333964. The cubic root of 1053939120 is about 1017.6657888570.

The spelling of 1053939120 in words is "one billion, fifty-three million, nine hundred thirty-nine thousand, one hundred twenty".