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152314016 = 2517416829
BaseRepresentation
bin10010001010000…
…10000010100000
3101121121100112212
421011002002200
5302443022031
623040341252
73526435121
oct1105020240
9347540485
10152314016
1178a82858
1243014828
132572c24a
141632c048
15d58a12b
hex91420a0

152314016 has 48 divisors (see below), whose sum is σ = 325299240. Its totient is φ = 69918720.

The previous prime is 152313991. The next prime is 152314037. The reversal of 152314016 is 610413251.

It can be written as a sum of positive squares in 4 ways, for example, as 116553616 + 35760400 = 10796^2 + 5980^2 .

It is a junction number, because it is equal to n+sod(n) for n = 152313982 and 152314000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18890 + ... + 25718.

Almost surely, 2152314016 is an apocalyptic number.

152314016 is a gapful number since it is divisible by the number (16) 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 152314016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162649620).

152314016 is an abundant number, since it is smaller than the sum of its proper divisors (172985224).

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

152314016 is a wasteful number, since it uses less digits than its factorization.

152314016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6897 (or 6889 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 152314016 is about 12341.5564658596. The cubic root of 152314016 is about 534.0475860842.

Adding to 152314016 its reverse (610413251), we get a palindrome (762727267).

The spelling of 152314016 in words is "one hundred fifty-two million, three hundred fourteen thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 41 68 82 136 164 272 328 544 656 697 1312 1394 2788 5576 6829 11152 13658 22304 27316 54632 109264 116093 218528 232186 279989 464372 559978 928744 1119956 1857488 2239912 3714976 4479824 4759813 8959648 9519626 19039252 38078504 76157008 152314016