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146380950 = 232522271433
BaseRepresentation
bin10001011100110…
…01100010010110
3101012102220220200
420232121202112
5244433142300
622305241330
73425134422
oct1056314226
9335386820
10146380950
11756a01a1
1241033246
1324432861
1415625b82
15ccb7200
hex8b99896

146380950 has 72 divisors (see below), whose sum is σ = 395284968. Its totient is φ = 38835840.

The previous prime is 146380943. The next prime is 146380957. The reversal of 146380950 is 59083641.

146380950 is a `hidden beast` number, since 14 + 638 + 0 + 9 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (146380943) and next prime (146380957).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146380957) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 101434 + ... + 102866.

It is an arithmetic number, because the mean of its divisors is an integer number (5490069).

Almost surely, 2146380950 is an apocalyptic number.

146380950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146380950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197642484).

146380950 is an abundant number, since it is smaller than the sum of its proper divisors (248904018).

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

146380950 is a wasteful number, since it uses less digits than its factorization.

146380950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 146380950 is about 12098.7995272258. The cubic root of 146380950 is about 527.0213232817.

The spelling of 146380950 in words is "one hundred forty-six million, three hundred eighty thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 227 450 454 681 1135 1362 1433 2043 2270 2866 3405 4086 4299 5675 6810 7165 8598 10215 11350 12897 14330 17025 20430 21495 25794 34050 35825 42990 51075 64485 71650 102150 107475 128970 214950 322425 325291 644850 650582 975873 1626455 1951746 2927619 3252910 4879365 5855238 8132275 9758730 14638095 16264550 24396825 29276190 48793650 73190475 146380950