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20503152 = 2433311531
BaseRepresentation
bin100111000110…
…1101001110000
31102120200001000
41032031221300
520222100102
62011242000
7336162645
oct116155160
942520030
1020503152
111063435a
126a49300
13432b457
142a19dcc
151c0001c
hex138da70

20503152 has 80 divisors (see below), whose sum is σ = 60789760. Its totient is φ = 6609600.

The previous prime is 20503151. The next prime is 20503159. The reversal of 20503152 is 25130502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20503151) 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, 12627 + ... + 14157.

It is an arithmetic number, because the mean of its divisors is an integer number (759872).

Almost surely, 220503152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20503152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30394880).

20503152 is an abundant number, since it is smaller than the sum of its proper divisors (40286608).

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

20503152 is a wasteful number, since it uses less digits than its factorization.

20503152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 20503152 is about 4528.0406358601. The cubic root of 20503152 is about 273.6992099430.

Adding to 20503152 its reverse (25130502), we get a palindrome (45633654).

The spelling of 20503152 in words is "twenty million, five hundred three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1531 1674 2232 3062 3348 4464 4593 6124 6696 9186 12248 13392 13779 18372 24496 27558 36744 41337 47461 55116 73488 82674 94922 110232 142383 165348 189844 220464 284766 330696 379688 427149 569532 661392 759376 854298 1139064 1281447 1708596 2278128 2562894 3417192 5125788 6834384 10251576 20503152