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5696000 = 295389
BaseRepresentation
bin10101101110101000000000
3101201101102222
4111232220000
52424233000
6322030212
766262262
oct25565000
911641388
105696000
113240542
121aa8368
13124581b
14a83b32
15777a85
hex56ea00

5696000 has 80 divisors (see below), whose sum is σ = 14362920. Its totient is φ = 2252800.

The previous prime is 5695981. The next prime is 5696017. The reversal of 5696000 is 6965.

It can be written as a sum of positive squares in 4 ways, for example, as 891136 + 4804864 = 944^2 + 2192^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63956 + ... + 64044.

Almost surely, 25696000 is an apocalyptic number.

5696000 is a gapful number since it is divisible by the number (50) 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 5696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7181460).

5696000 is an abundant number, since it is smaller than the sum of its proper divisors (8666920).

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

5696000 is an frugal number, since it uses more digits than its factorization.

5696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 5696000 is about 2386.6294224282. The cubic root of 5696000 is about 178.5898038234.

The spelling of 5696000 in words is "five million, six hundred ninety-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 89 100 125 128 160 178 200 250 256 320 356 400 445 500 512 640 712 800 890 1000 1280 1424 1600 1780 2000 2225 2560 2848 3200 3560 4000 4450 5696 6400 7120 8000 8900 11125 11392 12800 14240 16000 17800 22250 22784 28480 32000 35600 44500 45568 56960 64000 71200 89000 113920 142400 178000 227840 284800 356000 569600 712000 1139200 1424000 2848000 5696000