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11071320 = 23351347151
BaseRepresentation
bin101010001110…
…111101011000
3202211110222220
4222032331120
510313240240
61033144040
7163050621
oct52167530
922743886
1011071320
116282057
12385b020
1323a83a0
141682a48
15e8a5d0
hexa8ef58

11071320 has 128 divisors (see below), whose sum is σ = 36771840. Its totient is φ = 2649600.

The previous prime is 11071283. The next prime is 11071321. The reversal of 11071320 is 2317011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11071320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11071321) 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 31 ways as a sum of consecutive naturals, for example, 73245 + ... + 73395.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 211071320 is an apocalyptic number.

11071320 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 11071320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385920).

11071320 is an abundant number, since it is smaller than the sum of its proper divisors (25700520).

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

11071320 is a wasteful number, since it uses less digits than its factorization.

11071320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 11071320 is about 3327.3593133294. The cubic root of 11071320 is about 222.8776232704.

Adding to 11071320 its reverse (2317011), we get a palindrome (13388331).

The spelling of 11071320 in words is "eleven million, seventy-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 47 52 60 65 78 94 104 120 130 141 151 156 188 195 235 260 282 302 312 376 390 453 470 520 564 604 611 705 755 780 906 940 1128 1208 1222 1410 1510 1560 1812 1833 1880 1963 2265 2444 2820 3020 3055 3624 3666 3926 4530 4888 5640 5889 6040 6110 7097 7332 7852 9060 9165 9815 11778 12220 14194 14664 15704 18120 18330 19630 21291 23556 24440 28388 29445 35485 36660 39260 42582 47112 56776 58890 70970 73320 78520 85164 92261 106455 117780 141940 170328 184522 212910 235560 276783 283880 369044 425820 461305 553566 738088 851640 922610 1107132 1383915 1845220 2214264 2767830 3690440 5535660 11071320