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164930142 = 23132311523
BaseRepresentation
bin10011101010010…
…10001001011110
3102111100022121210
421311022021132
5314210231032
624211005250
74041611616
oct1165121136
9374308553
10164930142
118510a503
1247299826
1328228800
1417c93a46
15e72d2cc
hex9d4a25e

164930142 has 48 divisors (see below), whose sum is σ = 359019648. Its totient is φ = 50487840.

The previous prime is 164930123. The next prime is 164930147. The reversal of 164930142 is 241039461.

164930142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164930147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315093 + ... + 315615.

It is an arithmetic number, because the mean of its divisors is an integer number (7479576).

Almost surely, 2164930142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164930142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179509824).

164930142 is an abundant number, since it is smaller than the sum of its proper divisors (194089506).

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

164930142 is a wasteful number, since it uses less digits than its factorization.

164930142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 164930142 is about 12842.5130718252. The cubic root of 164930142 is about 548.4032387376.

The spelling of 164930142 in words is "one hundred sixty-four million, nine hundred thirty thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 169 311 338 507 523 622 933 1014 1046 1569 1866 3138 4043 6799 8086 12129 13598 20397 24258 40794 52559 88387 105118 157677 162653 176774 265161 315354 325306 487959 530322 975918 2114489 4228978 6343467 12686934 27488357 54976714 82465071 164930142