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149941530 = 23451710889
BaseRepresentation
bin10001110111111…
…10110100011010
3101110010211010000
420323332310122
5301341112110
622513433430
73500324214
oct1073766432
9343124100
10149941530
1177702322
124226b876
13250ab3cb
1415cb15b4
15d26c1c0
hex8efed1a

149941530 has 80 divisors (see below), whose sum is σ = 426931560. Its totient is φ = 37628928.

The previous prime is 149941523. The next prime is 149941537. The reversal of 149941530 is 35149941.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (149941523) and next prime (149941537).

It can be written as a sum of positive squares in 4 ways, for example, as 99261369 + 50680161 = 9963^2 + 7119^2 .

It is not an unprimeable number, because it can be changed into a prime (149941537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8326 + ... + 19214.

Almost surely, 2149941530 is an apocalyptic number.

149941530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 149941530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213465780).

149941530 is an abundant number, since it is smaller than the sum of its proper divisors (276990030).

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

149941530 is a wasteful number, since it uses less digits than its factorization.

149941530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10925 (or 10916 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 149941530 is about 12245.0614535003. The cubic root of 149941530 is about 531.2602382341.

The spelling of 149941530 in words is "one hundred forty-nine million, nine hundred forty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 2295 2754 4590 6885 10889 13770 21778 32667 54445 65334 98001 108890 163335 185113 196002 294003 326670 370226 490005 555339 588006 882009 925565 980010 1110678 1470015 1666017 1764018 1851130 2776695 2940030 3332034 4410045 4998051 5553390 8330085 8820090 9996102 14994153 16660170 24990255 29988306 49980510 74970765 149941530