Search a number
-
+
6020448 = 253717231
BaseRepresentation
bin10110111101110101100000
3102022212111120
4112331311200
53020123243
6333012240
7102113220
oct26756540
912285446
106020448
113442285
122024080
13132a3c5
14b2a080
157ddc83
hex5bdd60

6020448 has 144 divisors (see below), whose sum is σ = 19805184. Its totient is φ = 1566720.

The previous prime is 6020447. The next prime is 6020449. The reversal of 6020448 is 8440206.

It is an interprime number because it is at equal distance from previous prime (6020447) and next prime (6020449).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6020447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194193 + ... + 194223.

It is an arithmetic number, because the mean of its divisors is an integer number (137536).

Almost surely, 26020448 is an apocalyptic number.

6020448 is a gapful number since it is divisible by the number (68) 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 6020448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9902592).

6020448 is an abundant number, since it is smaller than the sum of its proper divisors (13784736).

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

6020448 is a wasteful number, since it uses less digits than its factorization.

6020448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 6020448 is about 2453.6601231629. The cubic root of 6020448 is about 181.9182501269.

The spelling of 6020448 in words is "six million, twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 31 32 34 42 48 51 56 62 68 84 93 96 102 112 119 124 136 168 186 204 217 224 238 248 272 289 336 357 372 408 434 476 496 527 544 578 651 672 714 744 816 867 868 952 992 1054 1156 1302 1428 1488 1581 1632 1734 1736 1904 2023 2108 2312 2604 2856 2976 3162 3468 3472 3689 3808 4046 4216 4624 5208 5712 6069 6324 6936 6944 7378 8092 8432 8959 9248 10416 11067 11424 12138 12648 13872 14756 16184 16864 17918 20832 22134 24276 25296 26877 27744 29512 32368 35836 44268 48552 50592 53754 59024 62713 64736 71672 88536 97104 107508 118048 125426 143344 177072 188139 194208 215016 250852 286688 354144 376278 430032 501704 752556 860064 1003408 1505112 2006816 3010224 6020448