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81738020 = 22571397463
BaseRepresentation
bin1001101111100…
…11100100100100
312200210201111002
410313303210210
5131411104040
612035532432
72011522160
oct467634444
9180721432
1081738020
1142158a91
122345a118
1313c1b4c0
14abd9ca0
157298a15
hex4df3924

81738020 has 96 divisors (see below), whose sum is σ = 213900288. Its totient is φ = 25546752.

The previous prime is 81738001. The next prime is 81738043. The reversal of 81738020 is 2083718.

It is a super-2 number, since 2×817380202 = 13362207827040800, which contains 22 as substring.

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, 176309 + ... + 176771.

It is an arithmetic number, because the mean of its divisors is an integer number (2228128).

Almost surely, 281738020 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 81738020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106950144).

81738020 is an abundant number, since it is smaller than the sum of its proper divisors (132162268).

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

81738020 is a wasteful number, since it uses less digits than its factorization.

81738020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 81738020 is about 9040.9081402257. The cubic root of 81738020 is about 433.9849853584.

The spelling of 81738020 in words is "eighty-one million, seven hundred thirty-eight thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 97 130 140 182 194 260 364 388 455 463 485 679 910 926 970 1261 1358 1820 1852 1940 2315 2522 2716 3241 3395 4630 5044 6019 6305 6482 6790 8827 9260 12038 12610 12964 13580 16205 17654 24076 25220 30095 32410 35308 42133 44135 44911 60190 64820 84266 88270 89822 120380 168532 176540 179644 210665 224555 314377 421330 449110 583843 628754 842660 898220 1167686 1257508 1571885 2335372 2919215 3143770 4086901 5838430 6287540 8173802 11676860 16347604 20434505 40869010 81738020