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149960328 = 23377911299
BaseRepresentation
bin10001111000000…
…11011010001000
3101110011202220020
420330003122020
5301342212303
622514100440
73500433060
oct1074033210
9343152806
10149960328
1177715461
124227a720
13250b6b2b
1415cb83a0
15d272a53
hex8f03688

149960328 has 64 divisors (see below), whose sum is σ = 433920000. Its totient is φ = 42299712.

The previous prime is 149960309. The next prime is 149960341. The reversal of 149960328 is 823069941.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 149960328.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7623 + ... + 18921.

It is an arithmetic number, because the mean of its divisors is an integer number (6780000).

Almost surely, 2149960328 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 149960328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216960000).

149960328 is an abundant number, since it is smaller than the sum of its proper divisors (283959672).

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

149960328 is a wasteful number, since it uses less digits than its factorization.

149960328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11394 (or 11390 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 149960328 is about 12245.8290041957. The cubic root of 149960328 is about 531.2824384714.

The spelling of 149960328 in words is "one hundred forty-nine million, nine hundred sixty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 168 237 316 474 553 632 948 1106 1659 1896 2212 3318 4424 6636 11299 13272 22598 33897 45196 67794 79093 90392 135588 158186 237279 271176 316372 474558 632744 892621 949116 1785242 1898232 2677863 3570484 5355726 6248347 7140968 10711452 12496694 18745041 21422904 24993388 37490082 49986776 74980164 149960328