Search a number
-
+
11807970 = 23523109157
BaseRepresentation
bin101101000010…
…110011100010
3211012220111020
4231002303202
511010323340
61101030310
7202236366
oct55026342
924186436
1011807970
116735559
123b55396
1325a5785
1417d52a6
1510839d0
hexb42ce2

11807970 has 64 divisors (see below), whose sum is σ = 30032640. Its totient is φ = 2965248.

The previous prime is 11807941. The next prime is 11807977. The reversal of 11807970 is 7970811.

It is not an unprimeable number, because it can be changed into a prime (11807977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75132 + ... + 75288.

It is an arithmetic number, because the mean of its divisors is an integer number (469260).

Almost surely, 211807970 is an apocalyptic number.

11807970 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 11807970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15016320).

11807970 is an abundant number, since it is smaller than the sum of its proper divisors (18224670).

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

11807970 is a wasteful number, since it uses less digits than its factorization.

11807970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299.

The product of its (nonzero) digits is 3528, while the sum is 33.

The square root of 11807970 is about 3436.2726899942. The cubic root of 11807970 is about 227.7150564741.

The spelling of 11807970 in words is "eleven million, eight hundred seven thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 109 115 138 157 218 230 314 327 345 471 545 654 690 785 942 1090 1570 1635 2355 2507 3270 3611 4710 5014 7222 7521 10833 12535 15042 17113 18055 21666 25070 34226 36110 37605 51339 54165 75210 85565 102678 108330 171130 256695 393599 513390 787198 1180797 1967995 2361594 3935990 5903985 11807970