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11521980 = 22335191123
BaseRepresentation
bin101011111100…
…111110111100
3210200101012000
4223330332330
510422200410
61050542300
7166635531
oct53747674
923611160
1011521980
11655a6a8
123a37990
132505552
14175cd88
151028dc0
hexafcfbc

11521980 has 96 divisors (see below), whose sum is σ = 37766400. Its totient is φ = 2908224.

The previous prime is 11521967. The next prime is 11521997. The reversal of 11521980 is 8912511.

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 a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9699 + ... + 10821.

It is an arithmetic number, because the mean of its divisors is an integer number (393400).

Almost surely, 211521980 is an apocalyptic number.

11521980 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 11521980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18883200).

11521980 is an abundant number, since it is smaller than the sum of its proper divisors (26244420).

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

11521980 is a wasteful number, since it uses less digits than its factorization.

11521980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 11521980 is about 3394.4042187106. The cubic root of 11521980 is about 225.8615854356.

The spelling of 11521980 in words is "eleven million, five hundred twenty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1123 1140 1710 2052 2246 2565 3369 3420 4492 5130 5615 6738 10107 10260 11230 13476 16845 20214 21337 22460 30321 33690 40428 42674 50535 60642 64011 67380 85348 101070 106685 121284 128022 151605 192033 202140 213370 256044 303210 320055 384066 426740 576099 606420 640110 768132 960165 1152198 1280220 1920330 2304396 2880495 3840660 5760990 11521980