Search a number
-
+
149334624 = 2533307563
BaseRepresentation
bin10001110011010…
…10101001100000
3101101222222121000
420321222221200
5301212201444
622452432000
73462215625
oct1071525140
9341888530
10149334624
117732834a
1242018600
1324c280aa
1415b9434c
15d19c469
hex8e6aa60

149334624 has 96 divisors (see below), whose sum is σ = 437754240. Its totient is φ = 49527936.

The previous prime is 149334611. The next prime is 149334637. The reversal of 149334624 is 426433941.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (149334611) and next prime (149334637).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264967 + ... + 265529.

It is an arithmetic number, because the mean of its divisors is an integer number (4559940).

Almost surely, 2149334624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149334624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218877120).

149334624 is an abundant number, since it is smaller than the sum of its proper divisors (288419616).

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

149334624 is a wasteful number, since it uses less digits than its factorization.

149334624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 875 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 149334624 is about 12220.2546618309. The cubic root of 149334624 is about 530.5424895117.

The spelling of 149334624 in words is "one hundred forty-nine million, three hundred thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 307 432 563 614 864 921 1126 1228 1689 1842 2252 2456 2763 3378 3684 4504 4912 5067 5526 6756 7368 8289 9008 9824 10134 11052 13512 14736 15201 16578 18016 20268 22104 27024 29472 30402 33156 40536 44208 54048 60804 66312 81072 88416 121608 132624 162144 172841 243216 265248 345682 486432 518523 691364 1037046 1382728 1555569 2074092 2765456 3111138 4148184 4666707 5530912 6222276 8296368 9333414 12444552 16592736 18666828 24889104 37333656 49778208 74667312 149334624