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81760020 = 223531113389
BaseRepresentation
bin1001101111110…
…00111100010100
312200211211122220
410313320330110
5131412310040
612040222340
72011643256
oct467707424
9180754586
1081760020
1142173571
122346a9b0
1313c28514
14ac03cd6
1572a02d0
hex4df8f14

81760020 has 96 divisors (see below), whose sum is σ = 239016960. Its totient is φ = 20858880.

The previous prime is 81760013. The next prime is 81760037. The reversal of 81760020 is 2006718.

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, 209986 + ... + 210374.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 281760020 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 81760020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119508480).

81760020 is an abundant number, since it is smaller than the sum of its proper divisors (157256940).

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

81760020 is a wasteful number, since it uses less digits than its factorization.

81760020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 81760020 is about 9042.1247503007. The cubic root of 81760020 is about 434.0239179270.

Adding to 81760020 its reverse (2006718), we get a palindrome (83766738).

The spelling of 81760020 in words is "eighty-one million, seven hundred sixty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 113 124 155 186 226 310 339 372 389 452 465 565 620 678 778 930 1130 1167 1356 1556 1695 1860 1945 2260 2334 3390 3503 3890 4668 5835 6780 7006 7780 10509 11670 12059 14012 17515 21018 23340 24118 35030 36177 42036 43957 48236 52545 60295 70060 72354 87914 105090 120590 131871 144708 175828 180885 210180 219785 241180 263742 361770 439570 527484 659355 723540 879140 1318710 1362667 2637420 2725334 4088001 5450668 6813335 8176002 13626670 16352004 20440005 27253340 40880010 81760020