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3068100 = 2232527487
BaseRepresentation
bin1011101101000011000100
312202212122100
423231003010
51241134400
6145432100
735035620
oct13550304
95685570
103068100
111806122
12103b630
13835659
1459c180
15409100
hex2ed0c4

3068100 has 108 divisors (see below), whose sum is σ = 11013184. Its totient is φ = 699840.

The previous prime is 3068099. The next prime is 3068111. The reversal of 3068100 is 18603.

It is a super-2 number, since 2×30681002 = 18826475220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6057 + ... + 6543.

Almost surely, 23068100 is an apocalyptic number.

3068100 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 3068100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5506592).

3068100 is an abundant number, since it is smaller than the sum of its proper divisors (7945084).

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

3068100 is a wasteful number, since it uses less digits than its factorization.

3068100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3068100 is about 1751.5992692394. The cubic root of 3068100 is about 145.3081042722.

The spelling of 3068100 in words is "three million, sixty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 487 525 630 700 900 974 1050 1260 1461 1575 1948 2100 2435 2922 3150 3409 4383 4870 5844 6300 6818 7305 8766 9740 10227 12175 13636 14610 17045 17532 20454 21915 24350 29220 30681 34090 36525 40908 43830 48700 51135 61362 68180 73050 85225 87660 102270 109575 122724 146100 153405 170450 204540 219150 255675 306810 340900 438300 511350 613620 767025 1022700 1534050 3068100