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1171110990 = 235716334213
BaseRepresentation
bin100010111001101…
…1011110001001110
310000121122121021010
41011303123301032
54344301022430
6312112550050
741010164520
oct10563336116
93017577233
101171110990
11551075025
12288252326
1315881b0aa
14b176da10
156cc30cb0
hex45cdbc4e

1171110990 has 64 divisors (see below), whose sum is σ = 3231991296. Its totient is φ = 266032512.

The previous prime is 1171110989. The next prime is 1171111009. The reversal of 1171110990 is 990111711.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17124 + ... + 51336.

It is an arithmetic number, because the mean of its divisors is an integer number (50499864).

Almost surely, 21171110990 is an apocalyptic number.

1171110990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1171110990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615995648).

1171110990 is an abundant number, since it is smaller than the sum of its proper divisors (2060880306).

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

1171110990 is a wasteful number, since it uses less digits than its factorization.

1171110990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34393.

The product of its (nonzero) digits is 567, while the sum is 30.

The square root of 1171110990 is about 34221.4989443771. The cubic root of 1171110990 is about 1054.0616650212.

The spelling of 1171110990 in words is "one billion, one hundred seventy-one million, one hundred ten thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 163 210 326 489 815 978 1141 1630 2282 2445 3423 4890 5705 6846 11410 17115 34213 34230 68426 102639 171065 205278 239491 342130 478982 513195 718473 1026390 1197455 1436946 2394910 3592365 5576719 7184730 11153438 16730157 27883595 33460314 39037033 55767190 78074066 83650785 117111099 167301570 195185165 234222198 390370330 585555495 1171110990