Search a number
-
+
1170130000 = 2454139001
BaseRepresentation
bin100010110111110…
…1100010001010000
310000112210202121011
41011233230101100
54344023130000
6312035540304
740665640504
oct10557542120
93015722534
101170130000
11550564a96
12287a5a694
13158566720
14b1596304
156cada2ba
hex45bec450

1170130000 has 100 divisors (see below), whose sum is σ = 3051263908. Its totient is φ = 432000000.

The previous prime is 1170129979. The next prime is 1170130021. The reversal of 1170130000 is 310711.

It is an interprime number because it is at equal distance from previous prime (1170129979) and next prime (1170130021).

It can be written as a sum of positive squares in 10 ways, for example, as 1150023744 + 20106256 = 33912^2 + 4484^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 125500 + ... + 134500.

Almost surely, 21170130000 is an apocalyptic number.

1170130000 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 1170130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525631954).

1170130000 is an abundant number, since it is smaller than the sum of its proper divisors (1881133908).

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

1170130000 is an equidigital number, since it uses as much as digits as its factorization.

1170130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9042 (or 9021 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 13.

The square root of 1170130000 is about 34207.1629925663. The cubic root of 1170130000 is about 1053.7672685562.

Adding to 1170130000 its reverse (310711), we get a palindrome (1170440711).

The spelling of 1170130000 in words is "one billion, one hundred seventy million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 5000 5200 6500 8125 9001 10000 13000 16250 18002 26000 32500 36004 45005 65000 72008 90010 117013 130000 144016 180020 225025 234026 360040 450050 468052 585065 720080 900100 936104 1125125 1170130 1800200 1872208 2250250 2340260 2925325 3600400 4500500 4680520 5625625 5850650 9001000 9361040 11251250 11701300 14626625 18002000 22502500 23402600 29253250 45005000 46805200 58506500 73133125 90010000 117013000 146266250 234026000 292532500 585065000 1170130000