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1606868928 = 2634744281
BaseRepresentation
bin101111111000110…
…1101111111000000
311010222121101210000
41133301231333000
511242324301203
6423240440000
754551106030
oct13761557700
94128541700
101606868928
11755043455
1238a179000
131c7b9c422
141135a18c0
15961094a3
hex5fc6dfc0

1606868928 has 140 divisors (see below), whose sum is σ = 5443851952. Its totient is φ = 459095040.

The previous prime is 1606868903. The next prime is 1606868929. The reversal of 1606868928 is 8298686061.

It is a happy number.

1606868928 is a `hidden beast` number, since 1 + 606 + 8 + 6 + 8 + 9 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1606868929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14148 + ... + 58428.

Almost surely, 21606868928 is an apocalyptic number.

1606868928 is a gapful number since it is divisible by the number (18) 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 1606868928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721925976).

1606868928 is an abundant number, since it is smaller than the sum of its proper divisors (3836983024).

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

1606868928 is an equidigital number, since it uses as much as digits as its factorization.

1606868928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44312 (or 44293 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 1606868928 is about 40085.7696446008. The cubic root of 1606868928 is about 1171.2784447592.

The spelling of 1606868928 in words is "one billion, six hundred six million, eight hundred sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 9072 12096 18144 36288 44281 88562 132843 177124 265686 309967 354248 398529 531372 619934 708496 797058 929901 1062744 1195587 1239868 1416992 1594116 1859802 2125488 2391174 2479736 2789703 2833984 3188232 3586761 3719604 4250976 4782348 4959472 5579406 6376464 7173522 7439208 8369109 8501952 9564696 9918944 11158812 12752928 14347044 14878416 16738218 19129392 19837888 22317624 25107327 25505856 28694088 29756832 33476436 38258784 44635248 50214654 57388176 59513664 66952872 76517568 89270496 100429308 114776352 133905744 178540992 200858616 229552704 267811488 401717232 535622976 803434464 1606868928