Search a number
-
+
6088896 = 263211312
BaseRepresentation
bin10111001110100011000000
3102110100101200
4113032203000
53024321041
6334301200
7102516612
oct27164300
912410350
106088896
113489750
122057800
1313525c8
14b46db2
158041b6
hex5ce8c0

6088896 has 126 divisors (see below), whose sum is σ = 19673316. Its totient is φ = 1785600.

The previous prime is 6088883. The next prime is 6088909. The reversal of 6088896 is 6988806.

6088896 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6088883) and next prime (6088909).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 196401 + ... + 196431.

Almost surely, 26088896 is an apocalyptic number.

6088896 is a gapful number since it is divisible by the number (66) 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 6088896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9836658).

6088896 is an abundant number, since it is smaller than the sum of its proper divisors (13584420).

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

6088896 is a wasteful number, since it uses less digits than its factorization.

6088896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 6088896 is about 2467.5688440244. The cubic root of 6088896 is about 182.6050786625.

The spelling of 6088896 in words is "six million, eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 48 62 64 66 72 88 93 96 99 124 132 144 176 186 192 198 248 264 279 288 341 352 372 396 496 528 558 576 682 704 744 792 961 992 1023 1056 1116 1364 1488 1584 1922 1984 2046 2112 2232 2728 2883 2976 3069 3168 3844 4092 4464 5456 5766 5952 6138 6336 7688 8184 8649 8928 10571 10912 11532 12276 15376 16368 17298 17856 21142 21824 23064 24552 30752 31713 32736 34596 42284 46128 49104 61504 63426 65472 69192 84568 92256 95139 98208 126852 138384 169136 184512 190278 196416 253704 276768 338272 380556 507408 553536 676544 761112 1014816 1522224 2029632 3044448 6088896