Search a number
-
+
1999001628 = 22321321917293
BaseRepresentation
bin111011100100110…
…0101100000011100
312011022110210201100
41313021211200130
513043221023003
6530205313100
7100352143041
oct16711454034
95138423640
101999001628
11936425568
12479565790
1325b1b7b00
1414d6b91c8
15ba766ba3
hex7726581c

1999001628 has 108 divisors (see below), whose sum is σ = 5759939640. Its totient is φ = 582671232.

The previous prime is 1999001611. The next prime is 1999001671. The reversal of 1999001628 is 8261009991.

1999001628 is a `hidden beast` number, since 19 + 9 + 9 + 0 + 0 + 1 + 628 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 106950 + ... + 124242.

Almost surely, 21999001628 is an apocalyptic number.

1999001628 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 1999001628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879969820).

1999001628 is an abundant number, since it is smaller than the sum of its proper divisors (3760938012).

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

1999001628 is a wasteful number, since it uses less digits than its factorization.

1999001628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17348 (or 17330 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 1999001628 is about 44710.1960183580. The cubic root of 1999001628 is about 1259.7113700182.

The spelling of 1999001628 in words is "one billion, nine hundred ninety-nine million, one thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 169 171 228 234 247 338 342 468 494 507 676 684 741 988 1014 1482 1521 2028 2223 2964 3042 3211 4446 6084 6422 8892 9633 12844 17293 19266 28899 34586 38532 51879 57798 69172 103758 115596 155637 207516 224809 311274 328567 449618 622548 657134 674427 899236 985701 1314268 1348854 1971402 2023281 2697708 2922517 2957103 3942804 4046562 4271371 5845034 5914206 8093124 8542742 8767551 11690068 11828412 12814113 17085484 17535102 25628226 26302653 35070204 38442339 51256452 52605306 55527823 76884678 105210612 111055646 153769356 166583469 222111292 333166938 499750407 666333876 999500814 1999001628