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146982164 = 2272749909
BaseRepresentation
bin10001100001011…
…00010100010100
3101020120110121212
420300230110110
5300111412124
622330200552
73433220300
oct1060542424
9336513555
10146982164
1175a7096a
1241283158
13245b33c4
1415740d00
15cd8540e
hex8c2c514

146982164 has 18 divisors (see below), whose sum is σ = 299214090. Its totient is φ = 62992272.

The previous prime is 146982163. The next prime is 146982181. The reversal of 146982164 is 461289641.

It can be written as a sum of positive squares in only one way, i.e., 135024400 + 11957764 = 11620^2 + 3458^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146982161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 374759 + ... + 375150.

It is an arithmetic number, because the mean of its divisors is an integer number (16623005).

Almost surely, 2146982164 is an apocalyptic number.

146982164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

146982164 is an abundant number, since it is smaller than the sum of its proper divisors (152231926).

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

146982164 is a wasteful number, since it uses less digits than its factorization.

146982164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749927 (or 749918 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The square root of 146982164 is about 12123.6200864263. The cubic root of 146982164 is about 527.7418628373.

The spelling of 146982164 in words is "one hundred forty-six million, nine hundred eighty-two thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 749909 1499818 2999636 5249363 10498726 20997452 36745541 73491082 146982164