Search a number
-
+
1087504992 = 253274159223
BaseRepresentation
bin100000011010010…
…0000001001100000
32210210022222101200
41000310200021200
54211400124432
6255525001200
735643432330
oct10064401140
92723288350
101087504992
11508960662
12264253200
131443c75a2
14a46090c0
1565718a7c
hex40d20260

1087504992 has 288 divisors, whose sum is σ = 3698472960. Its totient is φ = 296663040.

The previous prime is 1087504987. The next prime is 1087504997. The reversal of 1087504992 is 2994057801.

1087504992 is a `hidden beast` number, since 108 + 7 + 50 + 499 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1087504987) and next prime (1087504997).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087504997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4876593 + ... + 4876815.

It is an arithmetic number, because the mean of its divisors is an integer number (12841920).

It is a vampire number, since it can be written as 2140850799 (with its own digits).

Almost surely, 21087504992 is an apocalyptic number.

1087504992 is a gapful number since it is divisible by the number (12) 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 1087504992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849236480).

1087504992 is an abundant number, since it is smaller than the sum of its proper divisors (2610967968).

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

1087504992 is a wasteful number, since it uses less digits than its factorization.

1087504992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1087504992 is about 32977.3405841041. The cubic root of 1087504992 is about 1028.3566316020.

The spelling of 1087504992 in words is "one billion, eighty-seven million, five hundred four thousand, nine hundred ninety-two".