Search a number
-
+
149734728 = 2332111314543
BaseRepresentation
bin10001110110011…
…00010101001000
3101102202022102200
420323030111020
5301313002403
622505200200
73465503253
oct1073142510
9342668380
10149734728
1177580a10
1242190060
1325038240
1415c5a09a
15d22aca3
hex8ecc548

149734728 has 96 divisors (see below), whose sum is σ = 476461440. Its totient is φ = 41880960.

The previous prime is 149734727. The next prime is 149734733. The reversal of 149734728 is 827437941.

It is not an unprimeable number, because it can be changed into a prime (149734721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3025 + ... + 17567.

It is an arithmetic number, because the mean of its divisors is an integer number (4963140).

Almost surely, 2149734728 is an apocalyptic number.

149734728 is a gapful number since it is divisible by the number (18) 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 149734728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238230720).

149734728 is an abundant number, since it is smaller than the sum of its proper divisors (326726712).

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

149734728 is a wasteful number, since it uses less digits than its factorization.

149734728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14579 (or 14572 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 149734728 is about 12236.6142376067. The cubic root of 149734728 is about 531.0158847004.

It can be divided in two parts, 14973 and 4728, that added together give a triangular number (19701 = T198).

The spelling of 149734728 in words is "one hundred forty-nine million, seven hundred thirty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 5148 10296 14543 29086 43629 58172 87258 116344 130887 159973 174516 189059 261774 319946 349032 378118 479919 523548 567177 639892 756236 959838 1047096 1134354 1279784 1439757 1512472 1701531 1919676 2079649 2268708 2879514 3403062 3839352 4159298 4537416 5759028 6238947 6806124 8318596 11518056 12477894 13612248 16637192 18716841 24955788 37433682 49911576 74867364 149734728