Search a number
-
+
11882070 = 232547532
BaseRepresentation
bin101101010100…
…111001010110
3211100200010200
4231110321112
511020211240
61102401330
7202665414
oct55247126
924320120
1011882070
1167861a2
123b90246
132600415
1418142b4
15109a930
hexb54e56

11882070 has 72 divisors (see below), whose sum is σ = 32157216. Its totient is φ = 3042624.

The previous prime is 11881957. The next prime is 11882071. The reversal of 11882070 is 7028811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11882071) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 224164 + ... + 224216.

It is an arithmetic number, because the mean of its divisors is an integer number (446628).

Almost surely, 211882070 is an apocalyptic number.

11882070 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 11882070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16078608).

11882070 is an abundant number, since it is smaller than the sum of its proper divisors (20275146).

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

11882070 is a wasteful number, since it uses less digits than its factorization.

11882070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 11882070 is about 3447.0378587999. The cubic root of 11882070 is about 228.1903995892.

The spelling of 11882070 in words is "eleven million, eight hundred eighty-two thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 53 90 94 106 141 159 235 265 282 318 423 470 477 530 705 795 846 954 1410 1590 2115 2385 2491 2809 4230 4770 4982 5618 7473 8427 12455 14045 14946 16854 22419 24910 25281 28090 37365 42135 44838 50562 74730 84270 112095 126405 132023 224190 252810 264046 396069 660115 792138 1188207 1320230 1980345 2376414 3960690 5941035 11882070