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11107980 = 223251347101
BaseRepresentation
bin101010010111…
…111010001100
3202220100021200
4222113322030
510320423410
61034025500
7163262532
oct52277214
922810250
1011107980
1162a7654
123878290
1323bbc90
141692152
15e963c0
hexa97e8c

11107980 has 144 divisors (see below), whose sum is σ = 37425024. Its totient is φ = 2649600.

The previous prime is 11107969. The next prime is 11108047. The reversal of 11107980 is 8970111.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 109930 + ... + 110030.

It is an arithmetic number, because the mean of its divisors is an integer number (259896).

Almost surely, 211107980 is an apocalyptic number.

11107980 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 11107980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18712512).

11107980 is an abundant number, since it is smaller than the sum of its proper divisors (26317044).

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

11107980 is a wasteful number, since it uses less digits than its factorization.

11107980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The square root of 11107980 is about 3332.8636335740. The cubic root of 11107980 is about 223.1233540354.

The spelling of 11107980 in words is "eleven million, one hundred seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 47 52 60 65 78 90 94 101 117 130 141 156 180 188 195 202 234 235 260 282 303 390 404 423 468 470 505 564 585 606 611 705 780 846 909 940 1010 1170 1212 1222 1313 1410 1515 1692 1818 1833 2020 2115 2340 2444 2626 2820 3030 3055 3636 3666 3939 4230 4545 4747 5252 5499 6060 6110 6565 7332 7878 8460 9090 9165 9494 10998 11817 12220 13130 14241 15756 18180 18330 18988 19695 21996 23634 23735 26260 27495 28482 36660 39390 42723 47268 47470 54990 56964 59085 61711 71205 78780 85446 94940 109980 118170 123422 142410 170892 185133 213615 236340 246844 284820 308555 370266 427230 555399 617110 740532 854460 925665 1110798 1234220 1851330 2221596 2776995 3702660 5553990 11107980