Search a number
-
+
1171887420 = 22351123141127
BaseRepresentation
bin100010111011001…
…1001010100111100
310000200010001022210
41011312121110330
54400000344140
6312141340420
741016610254
oct10566312474
93020101283
101171887420
11551555400
12288567710
13158a30612
14b18d2964
156cd35d80
hex45d9953c

1171887420 has 288 divisors, whose sum is σ = 3843883008. Its totient is φ = 266112000.

The previous prime is 1171887413. The next prime is 1171887463. The reversal of 1171887420 is 247881711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9227397 + ... + 9227523.

It is an arithmetic number, because the mean of its divisors is an integer number (13346816).

Almost surely, 21171887420 is an apocalyptic number.

1171887420 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 1171887420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921941504).

1171887420 is an abundant number, since it is smaller than the sum of its proper divisors (2671995588).

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

1171887420 is a wasteful number, since it uses less digits than its factorization.

1171887420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 39.

The square root of 1171887420 is about 34232.8412493033. The cubic root of 1171887420 is about 1054.2945562127.

The spelling of 1171887420 in words is "one billion, one hundred seventy-one million, eight hundred eighty-seven thousand, four hundred twenty".