Search a number
-
+
150234400 = 2552187793
BaseRepresentation
bin10001111010001…
…10010100100000
3101110200200212001
420331012110200
5301430000100
622524013344
73502654111
oct1075062440
9343620761
10150234400
1177892368
1242391254
13251817c4
1415d4a208
15d2c8d6a
hex8f46520

150234400 has 36 divisors (see below), whose sum is σ = 366761682. Its totient is φ = 60093440.

The previous prime is 150234361. The next prime is 150234421. The reversal of 150234400 is 4432051.

It can be written as a sum of positive squares in 3 ways, for example, as 101848464 + 48385936 = 10092^2 + 6956^2 .

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 5 ways as a sum of consecutive naturals, for example, 93097 + ... + 94696.

Almost surely, 2150234400 is an apocalyptic number.

150234400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150234400 is an abundant number, since it is smaller than the sum of its proper divisors (216527282).

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

150234400 is a wasteful number, since it uses less digits than its factorization.

150234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187813 (or 187800 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 150234400 is about 12257.0143183403. The cubic root of 150234400 is about 531.6059040740.

Adding to 150234400 its reverse (4432051), we get a palindrome (154666451).

The spelling of 150234400 in words is "one hundred fifty million, two hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 187793 375586 751172 938965 1502344 1877930 3004688 3755860 4694825 6009376 7511720 9389650 15023440 18779300 30046880 37558600 75117200 150234400