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81419310 = 23357231873
BaseRepresentation
bin1001101101001…
…01110000101110
312200012112022000
410312211300232
5131320404220
612025033130
72006024040
oct466456056
9180175260
1081419310
1141a60595
12233257a6
1313b3940b
14ab55a90
157234390
hex4da5c2e

81419310 has 128 divisors (see below), whose sum is σ = 259061760. Its totient is φ = 17791488.

The previous prime is 81419297. The next prime is 81419311. The reversal of 81419310 is 1391418.

It is a super-2 number, since 2×814193102 = 13258208081752200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81419311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42534 + ... + 44406.

It is an arithmetic number, because the mean of its divisors is an integer number (2023920).

Almost surely, 281419310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81419310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129530880).

81419310 is an abundant number, since it is smaller than the sum of its proper divisors (177642450).

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

81419310 is a wasteful number, since it uses less digits than its factorization.

81419310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1913 counting only the distinct ones).

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

The square root of 81419310 is about 9023.2649301680. The cubic root of 81419310 is about 433.4201910045.

The spelling of 81419310 in words is "eighty-one million, four hundred nineteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 27 30 35 42 45 46 54 63 69 70 90 105 115 126 135 138 161 189 207 210 230 270 315 322 345 378 414 483 621 630 690 805 945 966 1035 1242 1449 1610 1873 1890 2070 2415 2898 3105 3746 4347 4830 5619 6210 7245 8694 9365 11238 13111 14490 16857 18730 21735 26222 28095 33714 39333 43079 43470 50571 56190 65555 78666 84285 86158 101142 117999 129237 131110 168570 196665 215395 235998 252855 258474 301553 353997 387711 393330 430790 505710 589995 603106 646185 707994 775422 904659 1163133 1179990 1292370 1507765 1769985 1809318 1938555 2326266 2713977 3015530 3539970 3877110 4523295 5427954 5815665 8141931 9046590 11631330 13569885 16283862 27139770 40709655 81419310