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149173640 = 235721121737
BaseRepresentation
bin10001110010000…
…11010110001000
3101101200210202122
420321003112020
5301142024030
622445150412
73460645400
oct1071032610
9341623678
10149173640
1177228400
1241b5b408
1324b9ca35
1415b51800
15d1698e5
hex8e43588

149173640 has 288 divisors, whose sum is σ = 466686360. Its totient is φ = 42577920.

The previous prime is 149173639. The next prime is 149173649. The reversal of 149173640 is 46371941.

149173640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 148011556 + 1162084 = 12166^2 + 1078^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 149173640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149173649) 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 71 ways as a sum of consecutive naturals, for example, 4031702 + ... + 4031738.

Almost surely, 2149173640 is an apocalyptic number.

149173640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149173640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233343180).

149173640 is an abundant number, since it is smaller than the sum of its proper divisors (317512720).

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

149173640 is a wasteful number, since it uses less digits than its factorization.

149173640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 149173640 is about 12213.6661162814. Note that the first 3 decimals coincide. The cubic root of 149173640 is about 530.3517778541.

The spelling of 149173640 in words is "one hundred forty-nine million, one hundred seventy-three thousand, six hundred forty".