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146323120 = 2458920551
BaseRepresentation
bin10001011100010…
…11011010110000
3101012022222120211
420232023122300
5244424314440
622304113504
73424504006
oct1056133260
9335288524
10146323120
11756607a9
1241005894
1324412438
141560ca76
15cca4eea
hex8b8b6b0

146323120 has 40 divisors (see below), whose sum is σ = 344040480. Its totient is φ = 57868800.

The previous prime is 146323117. The next prime is 146323141. The reversal of 146323120 is 21323641.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 146323091 and 146323100.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3156 + ... + 17395.

It is an arithmetic number, because the mean of its divisors is an integer number (8601012).

Almost surely, 2146323120 is an apocalyptic number.

146323120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146323120 is an abundant number, since it is smaller than the sum of its proper divisors (197717360).

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

146323120 is a wasteful number, since it uses less digits than its factorization.

146323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20653 (or 20647 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 146323120 is about 12096.4093846067. The cubic root of 146323120 is about 526.9519115685.

Adding to 146323120 its reverse (21323641), we get a palindrome (167646761).

The spelling of 146323120 in words is "one hundred forty-six million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 20551 41102 82204 102755 164408 205510 328816 411020 822040 1644080 1829039 3658078 7316156 9145195 14632312 18290390 29264624 36580780 73161560 146323120