Search a number
-
+
1087313220 = 223557311031
BaseRepresentation
bin100000011001111…
…0001010101000100
32210202222020100000
41000303301111010
54211323010340
6255520521300
735642003250
oct10063612504
92722866300
101087313220
1150883a574
12264180230
1314435b206
14a4599260
15656cbd30
hex40cf1544

1087313220 has 288 divisors, whose sum is σ = 4038967296. Its totient is φ = 240278400.

The previous prime is 1087313219. The next prime is 1087313221. The reversal of 1087313220 is 223137801.

It is an interprime number because it is at equal distance from previous prime (1087313219) and next prime (1087313221).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1087313221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1054105 + ... + 1055135.

It is an arithmetic number, because the mean of its divisors is an integer number (14024192).

Almost surely, 21087313220 is an apocalyptic number.

1087313220 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 1087313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019483648).

1087313220 is an abundant number, since it is smaller than the sum of its proper divisors (2951654076).

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

1087313220 is a wasteful number, since it uses less digits than its factorization.

1087313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1087313220 is about 32974.4328230221. The cubic root of 1087313220 is about 1028.2961808140.

The spelling of 1087313220 in words is "one billion, eighty-seven million, three hundred thirteen thousand, two hundred twenty".