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153540020 = 2257677001
BaseRepresentation
bin10010010011011…
…01010110110100
3101200220122022102
421021231112310
5303301240040
623122521232
73543032354
oct1111552664
9350818272
10153540020
117973a987
1243506218
1325a6b2aa
141656ab64
15d72d515
hex926d5b4

153540020 has 12 divisors (see below), whose sum is σ = 322434084. Its totient is φ = 61416000.

The previous prime is 153540017. The next prime is 153540029. The reversal of 153540020 is 20045351.

153540020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 21473956 + 132066064 = 4634^2 + 11492^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 7677001 = 153540020 / (1 + 5 + 3 + 5 + 4 + 0 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 153539974 and 153540001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153540029) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3838481 + ... + 3838520.

It is an arithmetic number, because the mean of its divisors is an integer number (26869507).

Almost surely, 2153540020 is an apocalyptic number.

153540020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153540020 is an abundant number, since it is smaller than the sum of its proper divisors (168894064).

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

153540020 is a wasteful number, since it uses less digits than its factorization.

153540020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7677010 (or 7677008 counting only the distinct ones).

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

The square root of 153540020 is about 12391.1266638672. The cubic root of 153540020 is about 535.4766416353.

Adding to 153540020 its reverse (20045351), we get a palindrome (173585371).

The spelling of 153540020 in words is "one hundred fifty-three million, five hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 7677001 15354002 30708004 38385005 76770010 153540020