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1682208132 = 2231123554087
BaseRepresentation
bin110010001000100…
…0111010110000100
311100020101000201220
41210101013112010
511421121130012
6434531320340
756454350613
oct14421072604
94306330656
101682208132
11793620960
123ab4500b0
1320a68a237
1411d5b387a
159ca3c08c
hex64447584

1682208132 has 48 divisors (see below), whose sum is σ = 4468165632. Its totient is φ = 487595680.

The previous prime is 1682208127. The next prime is 1682208139. The reversal of 1682208132 is 2318022861.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1682208093 and 1682208102.

It is not an unprimeable number, because it can be changed into a prime (1682208139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274008 + ... + 280079.

It is an arithmetic number, because the mean of its divisors is an integer number (93086784).

Almost surely, 21682208132 is an apocalyptic number.

1682208132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1682208132 is an abundant number, since it is smaller than the sum of its proper divisors (2785957500).

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

1682208132 is a wasteful number, since it uses less digits than its factorization.

1682208132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554128 (or 554126 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1682208132 is about 41014.7306708212. The cubic root of 1682208132 is about 1189.3049944469.

The spelling of 1682208132 in words is "one billion, six hundred eighty-two million, two hundred eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 554087 1108174 1662261 2216348 3324522 6094957 6649044 12189914 12744001 18284871 24379828 25488002 36569742 38232003 50976004 73139484 76464006 140184011 152928012 280368022 420552033 560736044 841104066 1682208132