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1166252340 = 2235119718217
BaseRepresentation
bin100010110000011…
…1001100100110100
310000021111202110010
41011200321210310
54342030033330
6311420500220
740620660411
oct10540714464
93007452403
101166252340
11549356710
122866aa670
13157809756
14b0c67108
156c5c13b0
hex45839934

1166252340 has 96 divisors (see below), whose sum is σ = 3599293824. Its totient is φ = 279797760.

The previous prime is 1166252299. The next prime is 1166252359. The reversal of 1166252340 is 432526611.

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

It is a junction number, because it is equal to n+sod(n) for n = 1166252298 and 1166252307.

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 31 ways as a sum of consecutive naturals, for example, 54912 + ... + 73128.

It is an arithmetic number, because the mean of its divisors is an integer number (37492644).

Almost surely, 21166252340 is an apocalyptic number.

1166252340 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 1166252340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799646912).

1166252340 is an abundant number, since it is smaller than the sum of its proper divisors (2433041484).

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

1166252340 is a wasteful number, since it uses less digits than its factorization.

1166252340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18337 (or 18335 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1166252340 is about 34150.4368932522. The cubic root of 1166252340 is about 1052.6019640817.

Adding to 1166252340 its reverse (432526611), we get a palindrome (1598778951).

The spelling of 1166252340 in words is "one billion, one hundred sixty-six million, two hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 97 110 132 165 194 220 291 330 388 485 582 660 970 1067 1164 1455 1940 2134 2910 3201 4268 5335 5820 6402 10670 12804 16005 18217 21340 32010 36434 54651 64020 72868 91085 109302 182170 200387 218604 273255 364340 400774 546510 601161 801548 1001935 1093020 1202322 1767049 2003870 2404644 3005805 3534098 4007740 5301147 6011610 7068196 8835245 10602294 12023220 17670490 19437539 21204588 26505735 35340980 38875078 53011470 58312617 77750156 97187695 106022940 116625234 194375390 233250468 291563085 388750780 583126170 1166252340