Search a number
-
+
11197680 = 2435133797
BaseRepresentation
bin101010101101…
…110011110000
3210001220022220
4222231303300
510331311210
61040001040
7164115204
oct52556360
923056286
1011197680
116358a8a
123900180
132420a60
1416b6b04
15eb2c70
hexaadcf0

11197680 has 160 divisors (see below), whose sum is σ = 38789184. Its totient is φ = 2654208.

The previous prime is 11197661. The next prime is 11197687. The reversal of 11197680 is 8679111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11197687) 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, 115392 + ... + 115488.

Almost surely, 211197680 is an apocalyptic number.

11197680 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 11197680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19394592).

11197680 is an abundant number, since it is smaller than the sum of its proper divisors (27591504).

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

11197680 is a wasteful number, since it uses less digits than its factorization.

11197680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 33.

The square root of 11197680 is about 3346.2934718880. The cubic root of 11197680 is about 223.7223387879.

Subtracting from 11197680 its reverse (8679111), we obtain a square (2518569 = 15872).

The spelling of 11197680 in words is "eleven million, one hundred ninety-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 37 39 40 48 52 60 65 74 78 80 97 104 111 120 130 148 156 185 194 195 208 222 240 260 291 296 312 370 388 390 444 481 485 520 555 582 592 624 740 776 780 888 962 970 1040 1110 1164 1261 1443 1455 1480 1552 1560 1776 1924 1940 2220 2328 2405 2522 2886 2910 2960 3120 3589 3783 3848 3880 4440 4656 4810 5044 5772 5820 6305 7178 7215 7566 7696 7760 8880 9620 10088 10767 11544 11640 12610 14356 14430 15132 17945 18915 19240 20176 21534 23088 23280 25220 28712 28860 30264 35890 37830 38480 43068 46657 50440 53835 57424 57720 60528 71780 75660 86136 93314 100880 107670 115440 139971 143560 151320 172272 186628 215340 233285 279942 287120 302640 373256 430680 466570 559884 699855 746512 861360 933140 1119768 1399710 1866280 2239536 2799420 3732560 5598840 11197680