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149710752 = 2532836263
BaseRepresentation
bin10001110110001…
…10011110100000
3101102201002112200
420323012132200
5301311221002
622504453200
73465343332
oct1073063640
9342632480
10149710752
11775649a4
124217a200
132502a359
1415c51452
15d223b1c
hex8ec67a0

149710752 has 72 divisors (see below), whose sum is σ = 430938144. Its totient is φ = 49294464.

The previous prime is 149710751. The next prime is 149710793. The reversal of 149710752 is 257017941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (149710751) 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 11 ways as a sum of consecutive naturals, for example, 20773 + ... + 27035.

It is an arithmetic number, because the mean of its divisors is an integer number (5985252).

Almost surely, 2149710752 is an apocalyptic number.

149710752 is a gapful number since it is divisible by the number (12) 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 149710752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215469072).

149710752 is an abundant number, since it is smaller than the sum of its proper divisors (281227392).

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

149710752 is a wasteful number, since it uses less digits than its factorization.

149710752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6362 (or 6351 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 149710752 is about 12235.6345156269. The cubic root of 149710752 is about 530.9875405378.

The spelling of 149710752 in words is "one hundred forty-nine million, seven hundred ten thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1328 1494 1992 2656 2988 3984 5976 6263 7968 11952 12526 18789 23904 25052 37578 50104 56367 75156 100208 112734 150312 200416 225468 300624 450936 519829 601248 901872 1039658 1559487 1803744 2079316 3118974 4158632 4678461 6237948 8317264 9356922 12475896 16634528 18713844 24951792 37427688 49903584 74855376 149710752