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3102000 = 243531147
BaseRepresentation
bin1011110101010100110000
312211121010220
423311110300
51243231000
6150253040
735236506
oct13652460
95747126
103102000
111829640
121057180
13847c05
145aa676
154141a0
hex2f5530

3102000 has 160 divisors (see below), whose sum is σ = 11142144. Its totient is φ = 736000.

The previous prime is 3101999. The next prime is 3102017. The reversal of 3102000 is 2013.

3102000 is digitally balanced in base 2, 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 (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3102000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65977 + ... + 66023.

Almost surely, 23102000 is an apocalyptic number.

3102000 is a gapful number since it is divisible by the number (30) 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 3102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571072).

3102000 is an abundant number, since it is smaller than the sum of its proper divisors (8040144).

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

3102000 is a wasteful number, since it uses less digits than its factorization.

3102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 3102000 is about 1761.2495564229. The cubic root of 3102000 is about 145.8413238252.

Adding to 3102000 its reverse (2013), we get a palindrome (3104013).

The spelling of 3102000 in words is "three million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 47 48 50 55 60 66 75 80 88 94 100 110 120 125 132 141 150 165 176 188 200 220 235 240 250 264 275 282 300 330 375 376 400 440 470 500 517 528 550 564 600 660 705 750 752 825 880 940 1000 1034 1100 1128 1175 1200 1320 1375 1410 1500 1551 1650 1880 2000 2068 2200 2256 2350 2585 2640 2750 2820 3000 3102 3300 3525 3760 4125 4136 4400 4700 5170 5500 5640 5875 6000 6204 6600 7050 7755 8250 8272 9400 10340 11000 11280 11750 12408 12925 13200 14100 15510 16500 17625 18800 20680 22000 23500 24816 25850 28200 31020 33000 35250 38775 41360 47000 51700 56400 62040 64625 66000 70500 77550 94000 103400 124080 129250 141000 155100 193875 206800 258500 282000 310200 387750 517000 620400 775500 1034000 1551000 3102000