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150642304 = 2717107647
BaseRepresentation
bin10001111101010…
…01111010000000
3101111110102101121
420332221322000
5302031023204
622540442024
73506303251
oct1076517200
9344412347
10150642304
117804087a
1242549314
1325295377
1416014b28
15d359b54
hex8fa9e80

150642304 has 64 divisors (see below), whose sum is σ = 321226560. Its totient is φ = 70119424.

The previous prime is 150642293. The next prime is 150642311. The reversal of 150642304 is 403246051.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 232509 + ... + 233155.

It is an arithmetic number, because the mean of its divisors is an integer number (5019165).

Almost surely, 2150642304 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 150642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160613280).

150642304 is an abundant number, since it is smaller than the sum of its proper divisors (170584256).

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

150642304 is a wasteful number, since it uses less digits than its factorization.

150642304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 150642304 is about 12273.6426540779. The cubic root of 150642304 is about 532.0865934007.

Adding to 150642304 its reverse (403246051), we get a palindrome (553888355).

The spelling of 150642304 in words is "one hundred fifty million, six hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 107 128 136 214 272 428 544 647 856 1088 1294 1712 1819 2176 2588 3424 3638 5176 6848 7276 10352 10999 13696 14552 20704 21998 29104 41408 43996 58208 69229 82816 87992 116416 138458 175984 232832 276916 351968 553832 703936 1107664 1176893 1407872 2215328 2353786 4430656 4707572 8861312 9415144 18830288 37660576 75321152 150642304