Search a number
-
+
1055896380 = 22325711293771
BaseRepresentation
bin111110111011111…
…011001100111100
32201120212002112100
4332323323030330
54130302141010
6252435305100
735110654050
oct7673731474
92646762470
101055896380
114a2031640
1225574b190
1313a9ab376
14a033bc60
1562a732c0
hex3eefb33c

1055896380 has 576 divisors, whose sum is σ = 4302305280. Its totient is φ = 203212800.

The previous prime is 1055896357. The next prime is 1055896399. The reversal of 1055896380 is 836985501.

1055896380 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 8 + 9 + 638 + 0 = 666.

It is a super-2 number, since 2×10558963802 = 2229834330594208800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14871745 + ... + 14871815.

It is an arithmetic number, because the mean of its divisors is an integer number (7469280).

Almost surely, 21055896380 is an apocalyptic number.

1055896380 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 1055896380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151152640).

1055896380 is an abundant number, since it is smaller than the sum of its proper divisors (3246408900).

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

1055896380 is a wasteful number, since it uses less digits than its factorization.

1055896380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 1055896380 is about 32494.5592368938. The cubic root of 1055896380 is about 1018.2953650087.

The spelling of 1055896380 in words is "one billion, fifty-five million, eight hundred ninety-six thousand, three hundred eighty".