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182001040 = 245131391259
BaseRepresentation
bin10101101100100…
…01110110010000
3110200110121111021
422312101312100
5333043013130
630020525224
74336661164
oct1266216620
9420417437
10182001040
119380a091
1250b50814
132b924930
141a258ca4
1510ea137a
hexad91d90

182001040 has 80 divisors (see below), whose sum is σ = 459345600. Its totient is φ = 66663936.

The previous prime is 182001037. The next prime is 182001067. The reversal of 182001040 is 40100281.

It is a happy number.

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

It is a super-2 number, since 2×1820010402 = 66248757122163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 143931 + ... + 145189.

It is an arithmetic number, because the mean of its divisors is an integer number (5741820).

Almost surely, 2182001040 is an apocalyptic number.

182001040 is a gapful number since it is divisible by the number (10) 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 182001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229672800).

182001040 is an abundant number, since it is smaller than the sum of its proper divisors (277344560).

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

182001040 is a wasteful number, since it uses less digits than its factorization.

182001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 182001040 is about 13490.7761081414. The cubic root of 182001040 is about 566.7061902460.

The spelling of 182001040 in words is "one hundred eighty-two million, one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 139 208 260 278 520 556 695 1040 1112 1259 1390 1807 2224 2518 2780 3614 5036 5560 6295 7228 9035 10072 11120 12590 14456 16367 18070 20144 25180 28912 32734 36140 50360 65468 72280 81835 100720 130936 144560 163670 175001 261872 327340 350002 654680 700004 875005 1309360 1400008 1750010 2275013 2800016 3500020 4550026 7000040 9100052 11375065 14000080 18200104 22750130 36400208 45500260 91000520 182001040