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146297264 = 24192691789
BaseRepresentation
bin10001011100001…
…01000110110000
3101012021200010012
420232011012300
5244423003024
622303354052
73424335431
oct1056050660
9335250105
10146297264
1175643333
1240bb2928
1324403739
1415603488
15cc9c50e
hex8b851b0

146297264 has 40 divisors (see below), whose sum is σ = 299646000. Its totient is φ = 69002496.

The previous prime is 146297213. The next prime is 146297267. The reversal of 146297264 is 462792641.

It is not an unprimeable number, because it can be changed into a prime (146297267) 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 7 ways as a sum of consecutive naturals, for example, 80882 + ... + 82670.

It is an arithmetic number, because the mean of its divisors is an integer number (7491150).

Almost surely, 2146297264 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 146297264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149823000).

146297264 is an abundant number, since it is smaller than the sum of its proper divisors (153348736).

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

146297264 is a wasteful number, since it uses less digits than its factorization.

146297264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2079 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The square root of 146297264 is about 12095.3405904919. The cubic root of 146297264 is about 526.9208714266.

The spelling of 146297264 in words is "one hundred forty-six million, two hundred ninety-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 19 38 76 152 269 304 538 1076 1789 2152 3578 4304 5111 7156 10222 14312 20444 28624 33991 40888 67982 81776 135964 271928 481241 543856 962482 1924964 3849928 7699856 9143579 18287158 36574316 73148632 146297264