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6030144 = 263219229
BaseRepresentation
bin10111000000001101000000
3102100100210200
4113000031000
53020431034
6333125200
7102153411
oct27001500
912310720
106030144
11344959a
122029800
131331943
14b2d808
157e1a99
hex5c0340

6030144 has 126 divisors (see below), whose sum is σ = 18870930. Its totient is φ = 1838592.

The previous prime is 6030137. The next prime is 6030161. The reversal of 6030144 is 4410306.

It can be written as a sum of positive squares in only one way, i.e., 5198400 + 831744 = 2280^2 + 912^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 207922 + ... + 207950.

Almost surely, 26030144 is an apocalyptic number.

6030144 is a gapful number since it is divisible by the number (64) 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 6030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9435465).

6030144 is an abundant number, since it is smaller than the sum of its proper divisors (12840786).

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

6030144 is a wasteful number, since it uses less digits than its factorization.

6030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 6030144 is about 2455.6351520533. The cubic root of 6030144 is about 182.0158582165.

The spelling of 6030144 in words is "six million, thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 29 32 36 38 48 57 58 64 72 76 87 96 114 116 144 152 171 174 192 228 232 261 288 304 342 348 361 456 464 522 551 576 608 684 696 722 912 928 1044 1083 1102 1216 1368 1392 1444 1653 1824 1856 2088 2166 2204 2736 2784 2888 3249 3306 3648 4176 4332 4408 4959 5472 5568 5776 6498 6612 8352 8664 8816 9918 10469 10944 11552 12996 13224 16704 17328 17632 19836 20938 23104 25992 26448 31407 34656 35264 39672 41876 51984 52896 62814 69312 79344 83752 94221 103968 105792 125628 158688 167504 188442 207936 251256 317376 335008 376884 502512 670016 753768 1005024 1507536 2010048 3015072 6030144