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149175840 = 253511191487
BaseRepresentation
bin10001110010000…
…11111000100000
3101101200220210010
420321003320200
5301142111330
622445204520
73460654662
oct1071037040
9341626703
10149175840
117722a020
1241b60740
1324ba0a38
1415b52532
15d16a3b0
hex8e43e20

149175840 has 192 divisors, whose sum is σ = 539965440. Its totient is φ = 34237440.

The previous prime is 149175839. The next prime is 149175841. The reversal of 149175840 is 48571941.

It is an interprime number because it is at equal distance from previous prime (149175839) and next prime (149175841).

It is not an unprimeable number, because it can be changed into a prime (149175841) 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 31 ways as a sum of consecutive naturals, for example, 99577 + ... + 101063.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2149175840 is an apocalyptic number.

149175840 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 149175840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269982720).

149175840 is an abundant number, since it is smaller than the sum of its proper divisors (390789600).

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

149175840 is a wasteful number, since it uses less digits than its factorization.

149175840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 149175840 is about 12213.7561789975. The cubic root of 149175840 is about 530.3543850355.

The spelling of 149175840 in words is "one hundred forty-nine million, one hundred seventy-five thousand, eight hundred forty".