Search a number
-
+
1990331136 = 28331991447
BaseRepresentation
bin111011010100010…
…0000101100000000
312010201011022001000
41312220200230000
513034011044021
6525255412000
7100215351453
oct16650405400
95121138030
101990331136
11931543272
12476684000
13259470441
1414c49d49a
15b9b02b26
hex76a20b00

1990331136 has 144 divisors (see below), whose sum is σ = 5919424000. Its totient is φ = 659653632.

The previous prime is 1990331113. The next prime is 1990331141. The reversal of 1990331136 is 6311330991.

1990331136 is a `hidden beast` number, since 199 + 0 + 331 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×19903311362 = 7922836061862100992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1990331136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1374765 + ... + 1376211.

Almost surely, 21990331136 is an apocalyptic number.

1990331136 is a gapful number since it is divisible by the number (16) 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 1990331136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959712000).

1990331136 is an abundant number, since it is smaller than the sum of its proper divisors (3929092864).

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

1990331136 is a wasteful number, since it uses less digits than its factorization.

1990331136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 1990331136 is about 44613.1273954203. The cubic root of 1990331136 is about 1257.8874350277.

The spelling of 1990331136 in words is "one billion, nine hundred ninety million, three hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 199 216 256 288 384 398 432 576 597 768 796 864 1152 1194 1447 1592 1728 1791 2304 2388 2894 3184 3456 3582 4341 4776 5373 5788 6368 6912 7164 8682 9552 10746 11576 12736 13023 14328 17364 19104 21492 23152 25472 26046 28656 34728 38208 39069 42984 46304 50944 52092 57312 69456 76416 78138 85968 92608 104184 114624 138912 152832 156276 171936 185216 208368 229248 277824 287953 312552 343872 370432 416736 458496 555648 575906 625104 687744 833472 863859 1111296 1151812 1250208 1375488 1666944 1727718 2303624 2500416 2591577 3333888 3455436 4607248 5000832 5183154 6910872 7774731 9214496 10001664 10366308 13821744 15549462 18428992 20732616 27643488 31098924 36857984 41465232 55286976 62197848 73715968 82930464 110573952 124395696 165860928 221147904 248791392 331721856 497582784 663443712 995165568 1990331136