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146380188 = 223232512113
BaseRepresentation
bin10001011100110…
…01010110011100
3101012102212212110
420232121112130
5244433131223
622305234020
73425132253
oct1056312634
9335385773
10146380188
117569a669
1241032910
13244323c6
141562579a
15ccb6d93
hex8b9959c

146380188 has 48 divisors (see below), whose sum is σ = 357993216. Its totient is φ = 46464000.

The previous prime is 146380187. The next prime is 146380189. The reversal of 146380188 is 881083641.

146380188 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146380187) and next prime (146380189).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146380181) 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, 68220 + ... + 70332.

It is an arithmetic number, because the mean of its divisors is an integer number (7458192).

Almost surely, 2146380188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146380188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178996608).

146380188 is an abundant number, since it is smaller than the sum of its proper divisors (211613028).

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

146380188 is a wasteful number, since it uses less digits than its factorization.

146380188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 146380188 is about 12098.7680364573. The cubic root of 146380188 is about 527.0204087936.

The spelling of 146380188 in words is "one hundred forty-six million, three hundred eighty thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 251 276 502 753 1004 1506 2113 3012 4226 5773 6339 8452 11546 12678 17319 23092 25356 34638 48599 69276 97198 145797 194396 291594 530363 583188 1060726 1591089 2121452 3182178 6364356 12198349 24396698 36595047 48793396 73190094 146380188