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81466320 = 24351326111
BaseRepresentation
bin1001101101100…
…01001111010000
312200021220210010
410312301033100
5131323410240
612030034520
72006311065
oct466611720
9180256703
1081466320
1141a92941
1223348a40
1313b54930
14ab68c6c
157243280
hex4db13d0

81466320 has 80 divisors (see below), whose sum is σ = 271982592. Its totient is φ = 20052480.

The previous prime is 81466313. The next prime is 81466331. The reversal of 81466320 is 2366418.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×814663202 = 13273522588684800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 9936 + ... + 16175.

Almost surely, 281466320 is an apocalyptic number.

81466320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81466320 is an abundant number, since it is smaller than the sum of its proper divisors (190516272).

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

81466320 is a wasteful number, since it uses less digits than its factorization.

81466320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26140 (or 26134 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 81466320 is about 9025.8694872018. The cubic root of 81466320 is about 433.5035912161.

It can be divided in two parts, 8 and 1466320, that added together give a triangular number (1466328 = T1712).

The spelling of 81466320 in words is "eighty-one million, four hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 26111 52222 78333 104444 130555 156666 208888 261110 313332 339443 391665 417776 522220 626664 678886 783330 1018329 1044440 1253328 1357772 1566660 1697215 2036658 2088880 2715544 3133320 3394430 4073316 5091645 5431088 6266640 6788860 8146632 10183290 13577720 16293264 20366580 27155440 40733160 81466320