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81314520 = 23357213829
BaseRepresentation
bin1001101100011…
…00001011011000
312200000012112220
410312030023120
5131304031040
612022504040
72005106400
oct466141330
9180005486
1081314520
1141999891
1223295020
1313b00801
14ab29800
1572132d0
hex4d8c2d8

81314520 has 96 divisors (see below), whose sum is σ = 283791600. Its totient is φ = 18584832.

The previous prime is 81314503. The next prime is 81314531. The reversal of 81314520 is 2541318.

It is a super-2 number, since 2×813145202 = 13224102325660800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1035 + ... + 12794.

Almost surely, 281314520 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 81314520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141895800).

81314520 is an abundant number, since it is smaller than the sum of its proper divisors (202477080).

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

81314520 is a wasteful number, since it uses less digits than its factorization.

81314520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13857 (or 13846 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 81314520 is about 9017.4564041086. The cubic root of 81314520 is about 433.2341679725.

Adding to 81314520 its reverse (2541318), we get a palindrome (83855838).

The spelling of 81314520 in words is "eighty-one million, three hundred fourteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 13829 27658 41487 55316 69145 82974 96803 110632 138290 165948 193606 207435 276580 290409 331896 387212 414870 484015 553160 580818 677621 774424 829740 968030 1161636 1355242 1452045 1659480 1936060 2032863 2323272 2710484 2904090 3388105 3872120 4065726 5420968 5808180 6776210 8131452 10164315 11616360 13552420 16262904 20328630 27104840 40657260 81314520