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1992013184 = 27743149347
BaseRepresentation
bin111011010111011…
…1011010110000000
312010211022202101002
41312232323112000
513034423410214
6525355431132
7100235555420
oct16656732600
95124282332
101992013184
11932491a97
124771554a8
1325990bc35
1414c7ba480
15b9d361de
hex76bbb580

1992013184 has 128 divisors (see below), whose sum is σ = 4685472000. Its totient is φ = 825882624.

The previous prime is 1992013169. The next prime is 1992013193. The reversal of 1992013184 is 4813102991.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5740499 + ... + 5740845.

It is an arithmetic number, because the mean of its divisors is an integer number (36605250).

Almost surely, 21992013184 is an apocalyptic number.

1992013184 is a gapful number since it is divisible by the number (14) 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 1992013184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342736000).

1992013184 is an abundant number, since it is smaller than the sum of its proper divisors (2693458816).

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

1992013184 is a wasteful number, since it uses less digits than its factorization.

1992013184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 1992013184 is about 44631.9749058901. The cubic root of 1992013184 is about 1258.2416861789.

The spelling of 1992013184 in words is "one billion, nine hundred ninety-two million, thirteen thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 149 172 224 298 301 344 347 448 596 602 688 694 896 1043 1192 1204 1376 1388 2086 2384 2408 2429 2752 2776 4172 4768 4816 4858 5504 5552 6407 8344 9536 9632 9716 11104 12814 14921 16688 19072 19264 19432 22208 25628 29842 33376 38528 38864 44416 44849 51256 51703 59684 66752 77728 89698 102512 103406 104447 119368 133504 155456 179396 205024 206812 208894 238736 310912 358792 361921 410048 413624 417788 477472 717584 723842 820096 827248 835576 954944 1435168 1447684 1654496 1671152 1909888 2223229 2870336 2895368 3308992 3342304 4446458 5740672 5790736 6617984 6684608 8892916 11581472 13369216 15562603 17785832 23162944 31125206 35571664 46325888 62250412 71143328 124500824 142286656 249001648 284573312 498003296 996006592 1992013184