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12083520 = 263541307
BaseRepresentation
bin101110000110…
…000101000000
3211201220110210
4232012011000
511043133040
61110554120
7204464631
oct56060500
924656423
1012083520
116903589
124068940
132671017
141867888
1510da480
hexb86140

12083520 has 112 divisors (see below), whose sum is σ = 39428928. Its totient is φ = 3133440.

The previous prime is 12083509. The next prime is 12083527. The reversal of 12083520 is 2538021.

It is a super-2 number, since 2×120835202 = 292022911180800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12083527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39207 + ... + 39513.

It is an arithmetic number, because the mean of its divisors is an integer number (352044).

Almost surely, 212083520 is an apocalyptic number.

12083520 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 12083520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19714464).

12083520 is an abundant number, since it is smaller than the sum of its proper divisors (27345408).

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

12083520 is a wasteful number, since it uses less digits than its factorization.

12083520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 12083520 is about 3476.1357856102. The cubic root of 12083520 is about 229.4727684000.

The spelling of 12083520 in words is "twelve million, eighty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 160 164 192 205 240 246 307 320 328 410 480 492 614 615 656 820 921 960 984 1228 1230 1312 1535 1640 1842 1968 2456 2460 2624 3070 3280 3684 3936 4605 4912 4920 6140 6560 7368 7872 9210 9824 9840 12280 12587 13120 14736 18420 19648 19680 24560 25174 29472 36840 37761 39360 49120 50348 58944 62935 73680 75522 98240 100696 125870 147360 151044 188805 201392 251740 294720 302088 377610 402784 503480 604176 755220 805568 1006960 1208352 1510440 2013920 2416704 3020880 4027840 6041760 12083520