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11700080 = 2457171229
BaseRepresentation
bin101100101000…
…011101110000
3211000102111022
4230220131300
510443400310
61054435012
7201310010
oct54503560
924012438
1011700080
116671497
123b02a68
132568632
1417a7c40
151061a55
hexb28770

11700080 has 80 divisors (see below), whose sum is σ = 32944320. Its totient is φ = 3772416.

The previous prime is 11700061. The next prime is 11700083. The reversal of 11700080 is 8000711.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11700083) 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 15 ways as a sum of consecutive naturals, for example, 8906 + ... + 10134.

It is an arithmetic number, because the mean of its divisors is an integer number (411804).

Almost surely, 211700080 is an apocalyptic number.

11700080 is a gapful number since it is divisible by the number (10) 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 11700080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16472160).

11700080 is an abundant number, since it is smaller than the sum of its proper divisors (21244240).

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

11700080 is a wasteful number, since it uses less digits than its factorization.

11700080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 11700080 is about 3420.5379693843. The cubic root of 11700080 is about 227.0193854857.

Adding to 11700080 its reverse (8000711), we get a palindrome (19700791).

The spelling of 11700080 in words is "eleven million, seven hundred thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1229 1360 1904 2380 2458 4760 4916 6145 8603 9520 9832 12290 17206 19664 20893 24580 34412 41786 43015 49160 68824 83572 86030 98320 104465 137648 146251 167144 172060 208930 292502 334288 344120 417860 585004 688240 731255 835720 1170008 1462510 1671440 2340016 2925020 5850040 11700080