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840132 = 22342593
BaseRepresentation
bin11001101000111000100
31120200110000
43031013010
5203341012
630001300
710066236
oct3150704
91520400
10840132
11524227
12346230
13235527
1417c256
15118ddc
hexcd1c4

840132 has 30 divisors (see below), whose sum is σ = 2197118. Its totient is φ = 279936.

The previous prime is 840109. The next prime is 840137. The reversal of 840132 is 231048.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 746496 + 93636 = 864^2 + 306^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

840132 is a modest number, since divided by 132 gives 84 as remainder.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 840132.

It is not an unprimeable number, because it can be changed into a prime (840137) by changing a digit.

840132 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 973 + ... + 1620.

2840132 is an apocalyptic number.

It is an amenable number.

840132 is an abundant number, since it is smaller than the sum of its proper divisors (1356986).

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

840132 is a wasteful number, since it uses less digits than its factorization.

840132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 840132 is about 916.5871480661. The cubic root of 840132 is about 94.3588216935.

The spelling of 840132 in words is "eight hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 2593 5186 7779 10372 15558 23337 31116 46674 70011 93348 140022 210033 280044 420066 840132