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3128000 = 26531723
BaseRepresentation
bin1011111011101011000000
312212220210212
423323223000
51300044000
6151013252
735405351
oct13735300
95786725
103128000
111847127
12106a228
138569b5
145b5d28
1541bc35
hex2fbac0

3128000 has 112 divisors (see below), whose sum is σ = 8558784. Its totient is φ = 1126400.

The previous prime is 3127997. The next prime is 3128009. The reversal of 3128000 is 8213.

It is not an unprimeable number, because it can be changed into a prime (3128009) 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, 135989 + ... + 136011.

Almost surely, 23128000 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 3128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279392).

3128000 is an abundant number, since it is smaller than the sum of its proper divisors (5430784).

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

3128000 is a wasteful number, since it uses less digits than its factorization.

3128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 3128000 is about 1768.6152775547. The cubic root of 3128000 is about 146.2476562315.

The spelling of 3128000 in words is "three million, one hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 17 20 23 25 32 34 40 46 50 64 68 80 85 92 100 115 125 136 160 170 184 200 230 250 272 320 340 368 391 400 425 460 500 544 575 680 736 782 800 850 920 1000 1088 1150 1360 1472 1564 1600 1700 1840 1955 2000 2125 2300 2720 2875 3128 3400 3680 3910 4000 4250 4600 5440 5750 6256 6800 7360 7820 8000 8500 9200 9775 11500 12512 13600 15640 17000 18400 19550 23000 25024 27200 31280 34000 36800 39100 46000 48875 62560 68000 78200 92000 97750 125120 136000 156400 184000 195500 312800 391000 625600 782000 1564000 3128000