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81994120 = 235131943193
BaseRepresentation
bin1001110001100…
…10000110001000
312201021201210021
410320302012020
5131442302440
612045230224
72013636625
oct470620610
9181251707
1081994120
114231343a
1223562374
1313caac40
14ac6534c
1572e984a
hex4e32188

81994120 has 128 divisors (see below), whose sum is σ = 215107200. Its totient is φ = 27869184.

The previous prime is 81994117. The next prime is 81994141. The reversal of 81994120 is 2149918.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424744 + ... + 424936.

It is an arithmetic number, because the mean of its divisors is an integer number (1680525).

Almost surely, 281994120 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 81994120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107553600).

81994120 is an abundant number, since it is smaller than the sum of its proper divisors (133113080).

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

81994120 is a wasteful number, since it uses less digits than its factorization.

81994120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 81994120 is about 9055.0604636303. The cubic root of 81994120 is about 434.4377639583.

The spelling of 81994120 in words is "eighty-one million, nine hundred ninety-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 43 52 65 76 86 95 104 130 152 172 190 193 215 247 260 344 380 386 430 494 520 559 760 772 817 860 965 988 1118 1235 1544 1634 1720 1930 1976 2236 2470 2509 2795 3268 3667 3860 4085 4472 4940 5018 5590 6536 7334 7720 8170 8299 9880 10036 10621 11180 12545 14668 16340 16598 18335 20072 21242 22360 25090 29336 32680 33196 36670 41495 42484 47671 50180 53105 66392 73340 82990 84968 95342 100360 106210 107887 146680 157681 165980 190684 212420 215774 238355 315362 331960 381368 424840 431548 476710 539435 630724 788405 863096 953420 1078870 1261448 1576810 1906840 2049853 2157740 3153620 4099706 4315480 6307240 8199412 10249265 16398824 20498530 40997060 81994120