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146420 = 2257321
BaseRepresentation
bin100011101111110100
321102211222
4203233310
514141140
63045512
71146611
oct435764
9242758
10146420
11a000a
1270898
1351851
143b508
152d5b5
hex23bf4

146420 has 12 divisors (see below), whose sum is σ = 307524. Its totient is φ = 58560.

The previous prime is 146417. The next prime is 146423. The reversal of 146420 is 24641.

146420 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (146417) and next prime (146423).

It can be written as a sum of positive squares in 2 ways, for example, as 15376 + 131044 = 124^2 + 362^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3641 + ... + 3680.

It is an arithmetic number, because the mean of its divisors is an integer number (25627).

2146420 is an apocalyptic number.

146420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146420 is an abundant number, since it is smaller than the sum of its proper divisors (161104).

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

146420 is a wasteful number, since it uses less digits than its factorization.

146420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7330 (or 7328 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 146420 is about 382.6486639203. The cubic root of 146420 is about 52.7068183553.

The spelling of 146420 in words is "one hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 7321 14642 29284 36605 73210 146420