Search a number
-
+
162144240 = 2435675601
BaseRepresentation
bin10011010101000…
…01111111110000
3102022002210002020
421222201333300
5313002103430
624031151440
74006126506
oct1152417760
9368083066
10162144240
1183587405
1246375580
132779174b
141776a676
15e37cb10
hex9aa1ff0

162144240 has 40 divisors (see below), whose sum is σ = 502647888. Its totient is φ = 43238400.

The previous prime is 162144239. The next prime is 162144247. The reversal of 162144240 is 42441261.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 162144240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162144247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 337561 + ... + 338040.

Almost surely, 2162144240 is an apocalyptic number.

162144240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

162144240 is an abundant number, since it is smaller than the sum of its proper divisors (340503648).

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

162144240 is a wasteful number, since it uses less digits than its factorization.

162144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675617 (or 675611 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 162144240 is about 12733.5870829865. The cubic root of 162144240 is about 545.2979208889.

The spelling of 162144240 in words is "one hundred sixty-two million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 675601 1351202 2026803 2702404 3378005 4053606 5404808 6756010 8107212 10134015 10809616 13512020 16214424 20268030 27024040 32428848 40536060 54048080 81072120 162144240