Search a number
-
+
150146816 = 281930869
BaseRepresentation
bin10001111001100…
…00111100000000
3101110112020201012
420330300330000
5301414144231
622522100052
73502140551
oct1074607400
9343466635
10150146816
1177832586
124234a628
1325150991
1415d26328
15d2ace2b
hex8f30f00

150146816 has 36 divisors (see below), whose sum is σ = 315491400. Its totient is φ = 71119872.

The previous prime is 150146813. The next prime is 150146837. The reversal of 150146816 is 618641051.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150146813) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 10571 + ... + 20298.

It is an arithmetic number, because the mean of its divisors is an integer number (8763650).

Almost surely, 2150146816 is an apocalyptic number.

150146816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

150146816 is an abundant number, since it is smaller than the sum of its proper divisors (165344584).

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

150146816 is an equidigital number, since it uses as much as digits as its factorization.

150146816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30904 (or 30890 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 150146816 is about 12253.4409861067. The cubic root of 150146816 is about 531.5025783768.

Adding to 150146816 its reverse (618641051), we get a palindrome (768787867).

The spelling of 150146816 in words is "one hundred fifty million, one hundred forty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 1216 2432 4864 30869 61738 123476 246952 493904 586511 987808 1173022 1975616 2346044 3951232 4692088 7902464 9384176 18768352 37536704 75073408 150146816