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6130432 = 28711311
BaseRepresentation
bin10111011000101100000000
3102112110101001
4113120230000
53032133212
6335221344
7103051660
oct27305400
912473331
106130432
113507980
122077854
131368499
14b581a0
15811657
hex5d8b00

6130432 has 72 divisors (see below), whose sum is σ = 15305472. Its totient is φ = 2380800.

The previous prime is 6130429. The next prime is 6130441. The reversal of 6130432 is 2340316.

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, 19557 + ... + 19867.

It is an arithmetic number, because the mean of its divisors is an integer number (212576).

Almost surely, 26130432 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 6130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7652736).

6130432 is an abundant number, since it is smaller than the sum of its proper divisors (9175040).

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

6130432 is a wasteful number, since it uses less digits than its factorization.

6130432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 6130432 is about 2475.9709206693. The cubic root of 6130432 is about 183.0193575430.

Adding to 6130432 its reverse (2340316), we get a palindrome (8470748).

The spelling of 6130432 in words is "six million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 311 352 448 616 622 704 896 1232 1244 1408 1792 2177 2464 2488 2816 3421 4354 4928 4976 6842 8708 9856 9952 13684 17416 19712 19904 23947 27368 34832 39808 47894 54736 69664 79616 95788 109472 139328 191576 218944 278656 383152 437888 557312 766304 875776 1532608 3065216 6130432