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2968000 = 2653753
BaseRepresentation
bin1011010100100111000000
312120210022221
423110213000
51224434000
6143340424
734141030
oct13244700
95523287
102968000
1117479a2
12bb1714
137cbc19
145738c0
153d961a
hex2d49c0

2968000 has 112 divisors (see below), whose sum is σ = 8558784. Its totient is φ = 998400.

The previous prime is 2967983. The next prime is 2968001. The reversal of 2968000 is 8692.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2968001) 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, 55974 + ... + 56026.

22968000 is an apocalyptic number.

2968000 is a gapful number since it is divisible by the number (20) 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 2968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279392).

2968000 is an abundant number, since it is smaller than the sum of its proper divisors (5590784).

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

2968000 is an equidigital number, since it uses as much as digits as its factorization.

2968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 2968000 is about 1722.7884373886. The cubic root of 2968000 is about 143.7103230131.

The spelling of 2968000 in words is "two million, nine hundred sixty-eight thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 53 56 64 70 80 100 106 112 125 140 160 175 200 212 224 250 265 280 320 350 371 400 424 448 500 530 560 700 742 800 848 875 1000 1060 1120 1325 1400 1484 1600 1696 1750 1855 2000 2120 2240 2650 2800 2968 3392 3500 3710 4000 4240 5300 5600 5936 6625 7000 7420 8000 8480 9275 10600 11200 11872 13250 14000 14840 16960 18550 21200 23744 26500 28000 29680 37100 42400 46375 53000 56000 59360 74200 84800 92750 106000 118720 148400 185500 212000 296800 371000 424000 593600 742000 1484000 2968000