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81796680 = 23325724637
BaseRepresentation
bin1001110000000…
…01111001001000
312200220200221200
410320001321020
5131414443210
612041104200
72012155200
oct470017110
9180820850
1081796680
1142199069
1223488060
1313c3c104
14ac13400
1572ab0c0
hex4e01e48

81796680 has 144 divisors (see below), whose sum is σ = 309308220. Its totient is φ = 18692352.

The previous prime is 81796661. The next prime is 81796699. The reversal of 81796680 is 8669718.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (81796661) and next prime (81796699).

It can be written as a sum of positive squares in 2 ways, for example, as 78535044 + 3261636 = 8862^2 + 1806^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15322 + ... + 19958.

Almost surely, 281796680 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 81796680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154654110).

81796680 is an abundant number, since it is smaller than the sum of its proper divisors (227511540).

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

81796680 is a wasteful number, since it uses less digits than its factorization.

81796680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4668 (or 4654 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 81796680 is about 9044.1517015141. The cubic root of 81796680 is about 434.0887782311.

The spelling of 81796680 in words is "eighty-one million, seven hundred ninety-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 4637 5880 8820 9274 13911 17640 18548 23185 27822 32459 37096 41733 46370 55644 64918 69555 83466 92740 97377 111288 129836 139110 162295 166932 185480 194754 208665 227213 259672 278220 292131 324590 333864 389508 417330 454426 486885 556440 584262 649180 681639 779016 834660 908852 973770 1136065 1168524 1298360 1363278 1460655 1669320 1817704 1947540 2044917 2272130 2337048 2726556 2921310 3408195 3895080 4089834 4544260 5453112 5842620 6816390 8179668 9088520 10224585 11685240 13632780 16359336 20449170 27265560 40898340 81796680