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81358260 = 22351731283
BaseRepresentation
bin1001101100101…
…10110110110100
312200002102112220
410312112312310
5131311431020
612023442340
72005351044
oct466266664
9180072486
1081358260
1141a19735
12232b63b0
1313b176a9
14ab3b724
157221240
hex4d96db4

81358260 has 144 divisors (see below), whose sum is σ = 252237888. Its totient is φ = 19522560.

The previous prime is 81358219. The next prime is 81358271. The reversal of 81358260 is 6285318.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 980179 + ... + 980261.

It is an arithmetic number, because the mean of its divisors is an integer number (1751652).

Almost surely, 281358260 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 81358260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126118944).

81358260 is an abundant number, since it is smaller than the sum of its proper divisors (170879628).

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

81358260 is a wasteful number, since it uses less digits than its factorization.

81358260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 81358260 is about 9019.8813739428. The cubic root of 81358260 is about 433.3118345679.

It can be divided in two parts, 81358 and 260, that added together give a palindrome (81618).

The spelling of 81358260 in words is "eighty-one million, three hundred fifty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 83 85 93 102 124 155 166 170 186 204 249 255 310 332 340 372 415 465 498 510 527 620 830 930 961 996 1020 1054 1245 1411 1581 1660 1860 1922 2108 2490 2573 2635 2822 2883 3162 3844 4233 4805 4980 5146 5270 5644 5766 6324 7055 7719 7905 8466 9610 10292 10540 11532 12865 14110 14415 15438 15810 16337 16932 19220 21165 25730 28220 28830 30876 31620 32674 38595 42330 43741 49011 51460 57660 65348 77190 79763 81685 84660 87482 98022 131223 154380 159526 163370 174964 196044 218705 239289 245055 262446 319052 326740 398815 437410 478578 490110 524892 656115 797630 874820 957156 980220 1196445 1312230 1355971 1595260 2392890 2624460 2711942 4067913 4785780 5423884 6779855 8135826 13559710 16271652 20339565 27119420 40679130 81358260