Search a number
-
+
1996329024 = 26333133691
BaseRepresentation
bin111011011111101…
…1001000001000000
312011010110000121000
41312333121001000
513042030012044
6530032132000
7100320342144
oct16677310100
95133400530
101996329024
1193496a5a8
12478697000
1325a7904a1
1414d1c1224
15ba3d9d69
hex76fd9040

1996329024 has 112 divisors (see below), whose sum is σ = 5889183040. Its totient is φ = 663137280.

The previous prime is 1996329011. The next prime is 1996329047. The reversal of 1996329024 is 4209236991.

It is a happy number.

1996329024 is a `hidden beast` number, since 1 + 9 + 9 + 632 + 9 + 0 + 2 + 4 = 666.

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, 539019 + ... + 542709.

Almost surely, 21996329024 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 1996329024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944591520).

1996329024 is an abundant number, since it is smaller than the sum of its proper divisors (3892854016).

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

1996329024 is a wasteful number, since it uses less digits than its factorization.

1996329024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4025 (or 4009 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 1996329024 is about 44680.2979399198. The cubic root of 1996329024 is about 1259.1497211246.

The spelling of 1996329024 in words is "one billion, nine hundred ninety-six million, three hundred twenty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 313 432 576 626 864 939 1252 1728 1878 2504 2817 3691 3756 5008 5634 7382 7512 8451 10016 11073 11268 14764 15024 16902 20032 22146 22536 29528 30048 33219 33804 44292 45072 59056 60096 66438 67608 88584 90144 99657 118112 132876 135216 177168 180288 199314 236224 265752 270432 354336 398628 531504 540864 708672 797256 1063008 1155283 1594512 2126016 2310566 3189024 3465849 4621132 6378048 6931698 9242264 10397547 13863396 18484528 20795094 27726792 31192641 36969056 41590188 55453584 62385282 73938112 83180376 110907168 124770564 166360752 221814336 249541128 332721504 499082256 665443008 998164512 1996329024