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149280066 = 232132311583
BaseRepresentation
bin10001110010111…
…01010101000010
3101101220012202100
420321131111002
5301203430231
622451331230
73461600565
oct1071352502
9341805670
10149280066
11772a0361
1241bb0b16
1324c09300
1415b7c4dc
15d18b1e6
hex8e5d542

149280066 has 72 divisors (see below), whose sum is σ = 361760256. Its totient is φ = 44422560.

The previous prime is 149280031. The next prime is 149280067. The reversal of 149280066 is 660082941.

It is a self number, because there is not a number n which added to its sum of digits gives 149280066.

It is not an unprimeable number, because it can be changed into a prime (149280067) 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, 93511 + ... + 95093.

It is an arithmetic number, because the mean of its divisors is an integer number (5024448).

Almost surely, 2149280066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149280066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180880128).

149280066 is an abundant number, since it is smaller than the sum of its proper divisors (212480190).

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

149280066 is a wasteful number, since it uses less digits than its factorization.

149280066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 149280066 is about 12218.0221803695. The cubic root of 149280066 is about 530.4778720728.

The spelling of 149280066 in words is "one hundred forty-nine million, two hundred eighty thousand, sixty-six".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 169 186 234 279 338 403 507 558 806 1014 1209 1521 1583 2418 3042 3166 3627 4749 5239 7254 9498 10478 14247 15717 20579 28494 31434 41158 47151 49073 61737 94302 98146 123474 147219 185211 267527 294438 370422 441657 535054 637949 802581 883314 1275898 1605162 1913847 2407743 3827694 4815486 5741541 8293337 11483082 16586674 24880011 49760022 74640033 149280066