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81333720 = 23345131931
BaseRepresentation
bin1001101100100…
…00110111011000
312200001011220000
410312100313120
5131310134340
612023133000
72005216356
oct466206730
9180034800
1081333720
1141a02256
12232a4160
1313b09480
14ab327d6
157218d30
hex4d90dd8

81333720 has 160 divisors (see below), whose sum is σ = 294552720. Its totient is φ = 20010240.

The previous prime is 81333691. The next prime is 81333731. The reversal of 81333720 is 2733318.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41155 + ... + 43085.

Almost surely, 281333720 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 81333720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147276360).

81333720 is an abundant number, since it is smaller than the sum of its proper divisors (213219000).

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

81333720 is a wasteful number, since it uses less digits than its factorization.

81333720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 81333720 is about 9018.5209430372. The cubic root of 81333720 is about 433.2682637339.

The spelling of 81333720 in words is "eighty-one million, three hundred thirty-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1404 1560 1620 1755 1931 2106 2340 2808 3240 3510 3862 4212 4680 5265 5793 7020 7724 8424 9655 10530 11586 14040 15448 17379 19310 21060 23172 25103 28965 34758 38620 42120 46344 50206 52137 57930 69516 75309 77240 86895 100412 104274 115860 125515 139032 150618 156411 173790 200824 208548 225927 231720 251030 260685 301236 312822 347580 376545 417096 451854 502060 521370 602472 625644 677781 695160 753090 782055 903708 1004120 1042740 1129635 1251288 1355562 1506180 1564110 1807416 2033343 2085480 2259270 2711124 3012360 3128220 3388905 4066686 4518540 5422248 6256440 6777810 8133372 9037080 10166715 13555620 16266744 20333430 27111240 40666860 81333720