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12070380 = 2235729991
BaseRepresentation
bin101110000010…
…110111101100
3211201020110010
4232002313230
511042223010
61110413220
7204411420
oct56026754
924636403
1012070380
1168a4723
124061210
13266804a
141862b80
1510d6620
hexb82dec

12070380 has 96 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 2661120.

The previous prime is 12070337. The next prime is 12070393. The reversal of 12070380 is 8307021.

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 31 ways as a sum of consecutive naturals, for example, 11685 + ... + 12675.

It is an arithmetic number, because the mean of its divisors is an integer number (416640).

Almost surely, 212070380 is an apocalyptic number.

12070380 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 12070380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

12070380 is an abundant number, since it is smaller than the sum of its proper divisors (27927060).

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

12070380 is a wasteful number, since it uses less digits than its factorization.

12070380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 12070380 is about 3474.2452417755. The cubic root of 12070380 is about 229.3895595942.

It can be divided in two parts, 120 and 70380, that added together give a triangular number (70500 = T375).

The spelling of 12070380 in words is "twelve million, seventy thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 58 60 70 84 87 105 116 140 145 174 203 210 290 348 406 420 435 580 609 812 870 991 1015 1218 1740 1982 2030 2436 2973 3045 3964 4060 4955 5946 6090 6937 9910 11892 12180 13874 14865 19820 20811 27748 28739 29730 34685 41622 57478 59460 69370 83244 86217 104055 114956 138740 143695 172434 201173 208110 287390 344868 402346 416220 431085 574780 603519 804692 862170 1005865 1207038 1724340 2011730 2414076 3017595 4023460 6035190 12070380