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1170314420 = 2251122811721
BaseRepresentation
bin100010111000001…
…1001010010110100
310000120011010120112
41011300121102310
54344100030140
6312043522152
741000336252
oct10560312264
93016133515
101170314420
11550680600
12287b29358
131585cc652
14b16035d2
156cb24c65
hex45c194b4

1170314420 has 72 divisors (see below), whose sum is σ = 2712583944. Its totient is φ = 423808000.

The previous prime is 1170314419. The next prime is 1170314437. The reversal of 1170314420 is 244130711.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 305131024 + 865183396 = 17468^2 + 29414^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 679160 + ... + 680880.

It is an arithmetic number, because the mean of its divisors is an integer number (37674777).

Almost surely, 21170314420 is an apocalyptic number.

1170314420 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 1170314420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356291972).

1170314420 is an abundant number, since it is smaller than the sum of its proper divisors (1542269524).

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

1170314420 is a wasteful number, since it uses less digits than its factorization.

1170314420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 1170314420 is about 34209.8585206078. The cubic root of 1170314420 is about 1053.8226258103.

The spelling of 1170314420 in words is "one billion, one hundred seventy million, three hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 281 484 562 605 1124 1210 1405 1721 2420 2810 3091 3442 5620 6182 6884 8605 12364 15455 17210 18931 30910 34001 34420 37862 61820 68002 75724 94655 136004 170005 189310 208241 340010 378620 416482 483601 680020 832964 967202 1041205 1934404 2082410 2418005 4164820 4836010 5319611 9672020 10639222 21278444 26598055 53196110 58515721 106392220 117031442 234062884 292578605 585157210 1170314420