Search a number
-
+
81778340 = 225723109233
BaseRepresentation
bin1001101111111…
…01011010100100
312200212202210102
410313331122210
5131413401330
612040443232
72012050550
oct467753244
9180782712
1081778340
1142186306
1223479518
1313c33967
14ac0a860
1572a5945
hex4dfd6a4

81778340 has 96 divisors (see below), whose sum is σ = 207567360. Its totient is φ = 26459136.

The previous prime is 81778327. The next prime is 81778343. The reversal of 81778340 is 4387718.

It is a junction number, because it is equal to n+sod(n) for n = 81778294 and 81778303.

It is not an unprimeable number, because it can be changed into a prime (81778343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350864 + ... + 351096.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 281778340 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 81778340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103783680).

81778340 is an abundant number, since it is smaller than the sum of its proper divisors (125789020).

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

81778340 is a wasteful number, since it uses less digits than its factorization.

81778340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 81778340 is about 9043.1377297927. The cubic root of 81778340 is about 434.0563328096.

The spelling of 81778340 in words is "eighty-one million, seven hundred seventy-eight thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 109 115 140 161 218 230 233 322 436 460 466 545 644 763 805 932 1090 1165 1526 1610 1631 2180 2330 2507 3052 3220 3262 3815 4660 5014 5359 6524 7630 8155 10028 10718 12535 15260 16310 17549 21436 25070 25397 26795 32620 35098 37513 50140 50794 53590 70196 75026 87745 101588 107180 126985 150052 175490 177779 187565 253970 350980 355558 375130 507940 584131 711116 750260 888895 1168262 1777790 2336524 2920655 3555580 4088917 5841310 8177834 11682620 16355668 20444585 40889170 81778340