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81748240 = 24571731277
BaseRepresentation
bin1001101111101…
…10000100010000
312200211020111121
410313312010100
5131411420430
612040052024
72011564030
oct467660420
9180736447
1081748240
1142165732
1223464014
1313c23052
14abdd8c0
15729ba7a
hex4df6110

81748240 has 160 divisors (see below), whose sum is σ = 238270464. Its totient is φ = 25436160.

The previous prime is 81748237. The next prime is 81748273. The reversal of 81748240 is 4284718.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 81748196 and 81748205.

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, 294982 + ... + 295258.

Almost surely, 281748240 is an apocalyptic number.

81748240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81748240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119135232).

81748240 is an abundant number, since it is smaller than the sum of its proper divisors (156522224).

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

81748240 is a wasteful number, since it uses less digits than its factorization.

81748240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 81748240 is about 9041.4733312663. The cubic root of 81748240 is about 434.0030721749.

The spelling of 81748240 in words is "eighty-one million, seven hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 31 34 35 40 56 62 68 70 80 85 112 119 124 136 140 155 170 217 238 248 272 277 280 310 340 434 476 496 527 554 560 595 620 680 868 952 1054 1085 1108 1190 1240 1360 1385 1736 1904 1939 2108 2170 2216 2380 2480 2635 2770 3472 3689 3878 4216 4340 4432 4709 4760 5270 5540 7378 7756 8432 8587 8680 9418 9520 9695 10540 11080 14756 15512 17174 17360 18445 18836 19390 21080 22160 23545 29512 31024 32963 34348 36890 37672 38780 42160 42935 47090 59024 60109 65926 68696 73780 75344 77560 85870 94180 120218 131852 137392 145979 147560 155120 164815 171740 188360 240436 263704 291958 295120 300545 329630 343480 376720 480872 527408 583916 601090 659260 686960 729895 961744 1021853 1167832 1202180 1318520 1459790 2043706 2335664 2404360 2637040 2919580 4087412 4808720 5109265 5839160 8174824 10218530 11678320 16349648 20437060 40874120 81748240