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150504320 = 2751912377
BaseRepresentation
bin10001111100010…
…00001110000000
3101111012102010002
420332020032000
5302012114240
622533455132
73505160051
oct1076101600
9344172102
10150504320
1177a5713a
12424a14a8
1325247615
1415dba728
15d32dd15
hex8f88380

150504320 has 64 divisors (see below), whose sum is σ = 378766800. Its totient is φ = 57028608.

The previous prime is 150504313. The next prime is 150504323. The reversal of 150504320 is 23405051.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 150504292 and 150504301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150504323) 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, 5972 + ... + 18348.

Almost surely, 2150504320 is an apocalyptic number.

150504320 is a gapful number since it is divisible by the number (10) 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 150504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189383400).

150504320 is an abundant number, since it is smaller than the sum of its proper divisors (228262480).

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

150504320 is a wasteful number, since it uses less digits than its factorization.

150504320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12415 (or 12403 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 150504320 is about 12268.0202151773. The cubic root of 150504320 is about 531.9240851219.

Adding to 150504320 its reverse (23405051), we get a palindrome (173909371).

The spelling of 150504320 in words is "one hundred fifty million, five hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1520 2432 3040 6080 12160 12377 24754 49508 61885 99016 123770 198032 235163 247540 396064 470326 495080 792128 940652 990160 1175815 1584256 1881304 1980320 2351630 3762608 3960640 4703260 7525216 7921280 9406520 15050432 18813040 30100864 37626080 75252160 150504320