Search a number
-
+
150533040 = 2435789603
BaseRepresentation
bin10001111100011…
…11001110110000
3101111020212111210
420332033032300
5302014024130
622534240120
73505336560
oct1076171660
9344225453
10150533040
1177a76779
12424b6040
1325257708
1415dc6da0
15d3375b0
hex8f8f3b0

150533040 has 80 divisors (see below), whose sum is σ = 533323008. Its totient is φ = 34407168.

The previous prime is 150533027. The next prime is 150533041. The reversal of 150533040 is 40335051.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1505330403 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 150532998 and 150533016.

It is not an unprimeable number, because it can be changed into a prime (150533041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43122 + ... + 46481.

Almost surely, 2150533040 is an apocalyptic number.

150533040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150533040 is an abundant number, since it is smaller than the sum of its proper divisors (382789968).

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

150533040 is a wasteful number, since it uses less digits than its factorization.

150533040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89626 (or 89620 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 150533040 is about 12269.1906823555. The cubic root of 150533040 is about 531.9579177899.

Adding to 150533040 its reverse (40335051), we get a palindrome (190868091).

The spelling of 150533040 in words is "one hundred fifty million, five hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 89603 179206 268809 358412 448015 537618 627221 716824 896030 1075236 1254442 1344045 1433648 1792060 1881663 2150472 2508884 2688090 3136105 3584120 3763326 4300944 5017768 5376180 6272210 7168240 7526652 9408315 10035536 10752360 12544420 15053304 18816630 21504720 25088840 30106608 37633260 50177680 75266520 150533040