Search a number
-
+
1206866952 = 23343173823
BaseRepresentation
bin100011111101111…
…0101010000001000
310010002221012020000
41013323311100020
54432424220302
6315431203000
741623125354
oct10773652010
93102835200
101206866952
1156a277005
12298216460
13163059c75
14b63da464
1570e4531c
hex47ef5408

1206866952 has 160 divisors (see below), whose sum is σ = 3541486080. Its totient is φ = 383512320.

The previous prime is 1206866951. The next prime is 1206866953. The reversal of 1206866952 is 2596686021.

It is an interprime number because it is at equal distance from previous prime (1206866951) and next prime (1206866953).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1206866898 and 1206866907.

It is not an unprimeable number, because it can be changed into a prime (1206866951) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1466013 + ... + 1466835.

It is an arithmetic number, because the mean of its divisors is an integer number (22134288).

Almost surely, 21206866952 is an apocalyptic number.

1206866952 is a gapful number since it is divisible by the number (12) 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 1206866952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770743040).

1206866952 is an abundant number, since it is smaller than the sum of its proper divisors (2334619128).

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

1206866952 is a wasteful number, since it uses less digits than its factorization.

1206866952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1206866952 is about 34739.9906735739. The cubic root of 1206866952 is about 1064.6817219910.

The spelling of 1206866952 in words is "one billion, two hundred six million, eight hundred sixty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 73 81 93 108 124 146 162 186 216 219 248 279 292 324 372 438 558 584 648 657 744 823 837 876 1116 1314 1646 1674 1752 1971 2232 2263 2469 2511 2628 3292 3348 3942 4526 4938 5022 5256 5913 6584 6696 6789 7407 7884 9052 9876 10044 11826 13578 14814 15768 18104 19752 20088 20367 22221 23652 25513 27156 29628 40734 44442 47304 51026 54312 59256 60079 61101 66663 76539 81468 88884 102052 120158 122202 133326 153078 162936 177768 180237 183303 204104 229617 240316 244404 266652 306156 360474 366606 459234 480632 488808 533304 540711 612312 688851 720948 733212 918468 1081422 1377702 1441896 1466424 1622133 1836936 1862449 2066553 2162844 2755404 3244266 3724898 4133106 4325688 4866399 5510808 5587347 6488532 7449796 8266212 9732798 11174694 12977064 14899592 16532424 16762041 19465596 22349388 33524082 38931192 44698776 50286123 67048164 100572246 134096328 150858369 201144492 301716738 402288984 603433476 1206866952