Search a number
-
+
1661840128 = 28132967257
BaseRepresentation
bin110001100001101…
…1010101100000000
311021211001020002101
41203003122230000
511400412341003
6432523000144
756116256644
oct14303325400
94254036071
101661840128
1178307a0a3
123a4669054
132063a8470
1411a9d0c24
159ad6711d
hex630dab00

1661840128 has 144 divisors (see below), whose sum is σ = 3765293280. Its totient is φ = 726663168.

The previous prime is 1661840119. The next prime is 1661840161. The reversal of 1661840128 is 8210481661.

It is a super-2 number, since 2×16618401282 = 5523425222062112768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6466176 + ... + 6466432.

It is an arithmetic number, because the mean of its divisors is an integer number (26147870).

Almost surely, 21661840128 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 1661840128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882646640).

1661840128 is an abundant number, since it is smaller than the sum of its proper divisors (2103453152).

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

1661840128 is a wasteful number, since it uses less digits than its factorization.

1661840128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 1661840128 is about 40765.6734029992. The cubic root of 1661840128 is about 1184.4854960510.

The spelling of 1661840128 in words is "one billion, six hundred sixty-one million, eight hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 67 104 116 128 134 208 232 256 257 268 377 416 464 514 536 754 832 871 928 1028 1072 1508 1664 1742 1856 1943 2056 2144 3016 3328 3341 3484 3712 3886 4112 4288 6032 6682 6968 7424 7453 7772 8224 8576 12064 13364 13936 14906 15544 16448 17152 17219 24128 25259 26728 27872 29812 31088 32896 34438 48256 50518 53456 55744 59624 62176 65792 68876 96512 96889 101036 106912 111488 119248 124352 137752 193778 202072 213824 222976 223847 238496 248704 275504 387556 404144 427648 447694 476992 497408 499351 551008 775112 808288 855296 895388 953984 998702 1102016 1550224 1616576 1790776 1907968 1997404 2204032 3100448 3233152 3581552 3994808 4408064 6200896 6466304 6491563 7163104 7989616 12401792 12983126 14326208 15979232 24803584 25966252 28652416 31958464 51932504 57304832 63916928 103865008 127833856 207730016 415460032 830920064 1661840128