Search a number
-
+
1211393216 = 26114141969
BaseRepresentation
bin100100000110100…
…0110010011000000
310010102110011002102
41020031012103000
54440104040331
6320112205532
742006446435
oct11015062300
93112404072
101211393216
11571888720
122998398a8
13163c83227
14b6c57b8c
157153b4cb
hex483464c0

1211393216 has 56 divisors (see below), whose sum is σ = 2686415760. Its totient is φ = 537190400.

The previous prime is 1211393159. The next prime is 1211393221. The reversal of 1211393216 is 6123931121.

It is a super-3 number, since 3×12113932163 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7880 + ... + 49848.

It is an arithmetic number, because the mean of its divisors is an integer number (47971710).

Almost surely, 21211393216 is an apocalyptic number.

1211393216 is a gapful number since it is divisible by the number (16) 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 1211393216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343207880).

1211393216 is an abundant number, since it is smaller than the sum of its proper divisors (1475022544).

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

1211393216 is a wasteful number, since it uses less digits than its factorization.

1211393216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42033 (or 42023 counting only the distinct ones).

The product of its digits is 1944, while the sum is 29.

The square root of 1211393216 is about 34805.0745725390. The cubic root of 1211393216 is about 1066.0110644928.

The spelling of 1211393216 in words is "one billion, two hundred eleven million, three hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 164 176 328 352 451 656 704 902 1312 1804 2624 3608 7216 14432 28864 41969 83938 167876 335752 461659 671504 923318 1343008 1720729 1846636 2686016 3441458 3693272 6882916 7386544 13765832 14773088 18928019 27531664 29546176 37856038 55063328 75712076 110126656 151424152 302848304 605696608 1211393216