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81941310 = 232511372237
BaseRepresentation
bin1001110001001…
…01001100111110
312201012001100100
410320211030332
5131434110220
612044141530
72013326643
oct470451476
9181161310
1081941310
11422877a0
12235378a6
1313c8cba9
14ac4ddca
1572d8d90
hex4e2533e

81941310 has 96 divisors (see below), whose sum is σ = 238803552. Its totient is φ = 19319040.

The previous prime is 81941303. The next prime is 81941369. The reversal of 81941310 is 1314918.

It is a super-2 number, since 2×819413102 = 13428756569032200, which contains 22 as substring.

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, 35512 + ... + 37748.

It is an arithmetic number, because the mean of its divisors is an integer number (2487537).

Almost surely, 281941310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81941310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119401776).

81941310 is an abundant number, since it is smaller than the sum of its proper divisors (156862242).

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

81941310 is a wasteful number, since it uses less digits than its factorization.

81941310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 81941310 is about 9052.1439449448. The cubic root of 81941310 is about 434.3444744003.

The spelling of 81941310 in words is "eighty-one million, nine hundred forty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 165 185 198 222 330 333 370 407 495 555 666 814 990 1110 1221 1665 2035 2237 2442 3330 3663 4070 4474 6105 6711 7326 11185 12210 13422 18315 20133 22370 24607 33555 36630 40266 49214 67110 73821 82769 100665 123035 147642 165538 201330 221463 246070 248307 369105 413845 442926 496614 738210 744921 827690 910459 1107315 1241535 1489842 1820918 2214630 2483070 2731377 3724605 4552295 5462754 7449210 8194131 9104590 13656885 16388262 27313770 40970655 81941310