Search a number
-
+
81622560 = 2535170047
BaseRepresentation
bin1001101110101…
…11011000100000
312200120212002210
410313113120200
5131343410220
612033242120
72010531435
oct467273040
9180525083
1081622560
114208a268
1223403340
1313baaa96
14aba9b8c
1572746e0
hex4dd7620

81622560 has 48 divisors (see below), whose sum is σ = 257112576. Its totient is φ = 21765888.

The previous prime is 81622553. The next prime is 81622571. The reversal of 81622560 is 6522618.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84544 + ... + 85503.

It is an arithmetic number, because the mean of its divisors is an integer number (5356512).

Almost surely, 281622560 is an apocalyptic number.

81622560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81622560 is an abundant number, since it is smaller than the sum of its proper divisors (175490016).

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

81622560 is a wasteful number, since it uses less digits than its factorization.

81622560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170065 (or 170057 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 81622560 is about 9034.5204632011. The cubic root of 81622560 is about 433.7805455377.

The spelling of 81622560 in words is "eighty-one million, six hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 170047 340094 510141 680188 850235 1020282 1360376 1700470 2040564 2550705 2720752 3400940 4081128 5101410 5441504 6801880 8162256 10202820 13603760 16324512 20405640 27207520 40811280 81622560