Search a number
-
+
11711070 = 2325729641
BaseRepresentation
bin101100101011…
…001001011110
3211000222120100
4230223021132
510444223240
61055001530
7201354030
oct54531136
924028510
1011711070
116679778
123b092a6
132570637
1417abc50
151064e30
hexb2b25e

11711070 has 96 divisors (see below), whose sum is σ = 36054720. Its totient is φ = 2580480.

The previous prime is 11711057. The next prime is 11711083. The reversal of 11711070 is 7011711.

It is an interprime number because it is at equal distance from previous prime (11711057) and next prime (11711083).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 17950 + ... + 18590.

It is an arithmetic number, because the mean of its divisors is an integer number (375570).

Almost surely, 211711070 is an apocalyptic number.

11711070 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 11711070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18027360).

11711070 is an abundant number, since it is smaller than the sum of its proper divisors (24343650).

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

11711070 is a wasteful number, since it uses less digits than its factorization.

11711070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 49, while the sum is 18.

The square root of 11711070 is about 3422.1440647641. The cubic root of 11711070 is about 227.0904437542.

Adding to 11711070 its reverse (7011711), we get a palindrome (18722781).

The spelling of 11711070 in words is "eleven million, seven hundred eleven thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 42 45 58 63 70 87 90 105 126 145 174 203 210 261 290 315 406 435 522 609 630 641 870 1015 1218 1282 1305 1827 1923 2030 2610 3045 3205 3654 3846 4487 5769 6090 6410 8974 9135 9615 11538 13461 18270 18589 19230 22435 26922 28845 37178 40383 44870 55767 57690 67305 80766 92945 111534 130123 134610 167301 185890 201915 260246 278835 334602 390369 403830 557670 650615 780738 836505 1171107 1301230 1673010 1951845 2342214 3903690 5855535 11711070