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150209328 = 243292612
BaseRepresentation
bin10001111010000…
…00001100110000
3101110122102110110
420331000030300
5301423144303
622523301320
73502521033
oct1075001460
9343572413
10150209328
1177875545
124237a840
1325173279
1415d4101a
15d2c1703
hex8f40330

150209328 has 90 divisors (see below), whose sum is σ = 408579132. Its totient is φ = 47550720.

The previous prime is 150209327. The next prime is 150209347. The reversal of 150209328 is 823902051.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 150209295 and 150209304.

It is not an unprimeable number, because it can be changed into a prime (150209327) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2462418 + ... + 2462478.

Almost surely, 2150209328 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 150209328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204289566).

150209328 is an abundant number, since it is smaller than the sum of its proper divisors (258369804).

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

150209328 is an equidigital number, since it uses as much as digits as its factorization.

150209328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 150209328 is about 12255.9915143574. The cubic root of 150209328 is about 531.5763299224.

The spelling of 150209328 in words is "one hundred fifty million, two hundred nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 61 87 116 122 174 183 232 244 348 366 464 488 696 732 841 976 1392 1464 1682 1769 2523 2928 3364 3538 3721 5046 5307 6728 7076 7442 10092 10614 11163 13456 14152 14884 20184 21228 22326 28304 29768 40368 42456 44652 51301 59536 84912 89304 102602 107909 153903 178608 205204 215818 307806 323727 410408 431636 615612 647454 820816 863272 1231224 1294908 1726544 2462448 2589816 3129361 5179632 6258722 9388083 12517444 18776166 25034888 37552332 50069776 75104664 150209328