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3132080 = 245721747
BaseRepresentation
bin1011111100101010110000
312220010101222
423330222300
51300211310
6151044212
735423300
oct13745260
95803358
103132080
11184a1a6
121070668
13858803
145b7600
1541d055
hex2fcab0

3132080 has 120 divisors (see below), whose sum is σ = 9160128. Its totient is φ = 989184.

The previous prime is 3132037. The next prime is 3132083. The reversal of 3132080 is 802313.

3132080 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an Ulam number.

3132080 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (3132083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66617 + ... + 66663.

Almost surely, 23132080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3132080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580064).

3132080 is an abundant number, since it is smaller than the sum of its proper divisors (6028048).

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

3132080 is a wasteful number, since it uses less digits than its factorization.

3132080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 3132080 is about 1769.7683464228. The cubic root of 3132080 is about 146.3112145429.

Adding to 3132080 its reverse (802313), we get a palindrome (3934393).

The spelling of 3132080 in words is "three million, one hundred thirty-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 47 49 56 68 70 80 85 94 98 112 119 136 140 170 188 196 235 238 245 272 280 329 340 376 392 470 476 490 560 595 658 680 752 784 799 833 940 952 980 1190 1316 1360 1598 1645 1666 1880 1904 1960 2303 2380 2632 3196 3290 3332 3760 3920 3995 4165 4606 4760 5264 5593 6392 6580 6664 7990 8330 9212 9520 11186 11515 12784 13160 13328 15980 16660 18424 22372 23030 26320 27965 31960 33320 36848 39151 44744 46060 55930 63920 66640 78302 89488 92120 111860 156604 184240 195755 223720 313208 391510 447440 626416 783020 1566040 3132080