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6968000 = 26531367
BaseRepresentation
bin11010100101001011000000
3111010000022002
4122211023000
53240434000
6405203132
7113140604
oct32451300
914100262
106968000
113a2a186
1224004a8
13159c7a0
14cd5504
159298d5
hex6a52c0

6968000 has 112 divisors (see below), whose sum is σ = 18861024. Its totient is φ = 2534400.

The previous prime is 6967999. The next prime is 6968009. The reversal of 6968000 is 8696.

It is not an unprimeable number, because it can be changed into a prime (6968009) 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, 103967 + ... + 104033.

It is an arithmetic number, because the mean of its divisors is an integer number (168402).

Almost surely, 26968000 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 6968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9430512).

6968000 is an abundant number, since it is smaller than the sum of its proper divisors (11893024).

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

6968000 is a wasteful number, since it uses less digits than its factorization.

6968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 6968000 is about 2639.6969523034. The cubic root of 6968000 is about 191.0011786885.

The spelling of 6968000 in words is "six million, nine hundred sixty-eight thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 67 80 100 104 125 130 134 160 200 208 250 260 268 320 325 335 400 416 500 520 536 650 670 800 832 871 1000 1040 1072 1300 1340 1600 1625 1675 1742 2000 2080 2144 2600 2680 3250 3350 3484 4000 4160 4288 4355 5200 5360 6500 6700 6968 8000 8375 8710 10400 10720 13000 13400 13936 16750 17420 20800 21440 21775 26000 26800 27872 33500 34840 43550 52000 53600 55744 67000 69680 87100 104000 107200 108875 134000 139360 174200 217750 268000 278720 348400 435500 536000 696800 871000 1393600 1742000 3484000 6968000