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81442740 = 223519199359
BaseRepresentation
bin1001101101010…
…11011110110100
312200020201102210
410312223132310
5131322131430
612025333420
72006152251
oct466533664
9180221383
1081442740
1141a77155
1223337270
1313b46c92
14ab60428
15723b2b0
hex4dab7b4

81442740 has 96 divisors (see below), whose sum is σ = 241920000. Its totient is φ = 20414592.

The previous prime is 81442717. The next prime is 81442789. The reversal of 81442740 is 4724418.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 81442698 and 81442707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226681 + ... + 227039.

It is an arithmetic number, because the mean of its divisors is an integer number (2520000).

Almost surely, 281442740 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 81442740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960000).

81442740 is an abundant number, since it is smaller than the sum of its proper divisors (160477260).

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

81442740 is a wasteful number, since it uses less digits than its factorization.

81442740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 81442740 is about 9024.5631473219. The cubic root of 81442740 is about 433.4617620648.

The spelling of 81442740 in words is "eighty-one million, four hundred forty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 199 228 285 359 380 398 570 597 718 796 995 1077 1140 1194 1436 1795 1990 2154 2388 2985 3590 3781 3980 4308 5385 5970 6821 7180 7562 10770 11343 11940 13642 15124 18905 20463 21540 22686 27284 34105 37810 40926 45372 56715 68210 71441 75620 81852 102315 113430 136420 142882 204630 214323 226860 285764 357205 409260 428646 714410 857292 1071615 1357379 1428820 2143230 2714758 4072137 4286460 5429516 6786895 8144274 13573790 16288548 20360685 27147580 40721370 81442740