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81240000 = 26354677
BaseRepresentation
bin1001101011110…
…01111111000000
312122212102022220
410311321333000
5131244140000
612021131040
72004346212
oct465717700
9178772286
1081240000
11419488a6
1223259a80
1313aa590a
14ab0a5b2
1571eb1a0
hex4d79fc0

81240000 has 140 divisors (see below), whose sum is σ = 268995144. Its totient is φ = 21632000.

The previous prime is 81239999. The next prime is 81240007. The reversal of 81240000 is 4218.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81240007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119662 + ... + 120338.

Almost surely, 281240000 is an apocalyptic number.

81240000 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 81240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134497572).

81240000 is an abundant number, since it is smaller than the sum of its proper divisors (187755144).

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

81240000 is an equidigital number, since it uses as much as digits as its factorization.

81240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 81240000 is about 9013.3234713950. The cubic root of 81240000 is about 433.1017829341.

Adding to 81240000 its reverse (4218), we get a palindrome (81244218).

The spelling of 81240000 in words is "eighty-one million, two hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 677 750 800 960 1000 1200 1250 1354 1500 1600 1875 2000 2031 2400 2500 2708 3000 3385 3750 4000 4062 4800 5000 5416 6000 6770 7500 8000 8124 10000 10155 10832 12000 13540 15000 16248 16925 20000 20310 21664 24000 27080 30000 32496 33850 40000 40620 43328 50775 54160 60000 64992 67700 81240 84625 101550 108320 120000 129984 135400 162480 169250 203100 216640 253875 270800 324960 338500 406200 423125 507750 541600 649920 677000 812400 846250 1015500 1083200 1269375 1354000 1624800 1692500 2031000 2538750 2708000 3249600 3385000 4062000 5077500 5416000 6770000 8124000 10155000 13540000 16248000 20310000 27080000 40620000 81240000