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12082350 = 2352737311
BaseRepresentation
bin101110000101…
…110010101110
3211201211212110
4232011302232
511043113400
61110544450
7204461340
oct56056256
924654773
1012082350
116902715
124068126
132670627
141867290
1510d9e50
hexb85cae

12082350 has 96 divisors (see below), whose sum is σ = 35283456. Its totient is φ = 2678400.

The previous prime is 12082319. The next prime is 12082361. The reversal of 12082350 is 5328021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 38695 + ... + 39005.

It is an arithmetic number, because the mean of its divisors is an integer number (367536).

Almost surely, 212082350 is an apocalyptic number.

12082350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12082350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17641728).

12082350 is an abundant number, since it is smaller than the sum of its proper divisors (23201106).

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

12082350 is a wasteful number, since it uses less digits than its factorization.

12082350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 365 counting only the distinct ones).

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

The square root of 12082350 is about 3475.9674912174. The cubic root of 12082350 is about 229.4653618439.

The spelling of 12082350 in words is "twelve million, eighty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 37 42 50 70 74 75 105 111 150 175 185 210 222 259 311 350 370 518 525 555 622 777 925 933 1050 1110 1295 1554 1555 1850 1866 2177 2590 2775 3110 3885 4354 4665 5550 6475 6531 7770 7775 9330 10885 11507 12950 13062 15550 19425 21770 23014 23325 32655 34521 38850 46650 54425 57535 65310 69042 80549 108850 115070 161098 163275 172605 241647 287675 326550 345210 402745 483294 575350 805490 863025 1208235 1726050 2013725 2416470 4027450 6041175 12082350