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20103648 = 253613433
BaseRepresentation
bin100110010110…
…0000111100000
31101211101000120
41030230013200
520121304043
61554520240
7332610135
oct114540740
941741016
1020103648
1110391194
126896080
13421b666
14295458c
151b71983
hex132c1e0

20103648 has 48 divisors (see below), whose sum is σ = 53652816. Its totient is φ = 6589440.

The previous prime is 20103647. The next prime is 20103659. The reversal of 20103648 is 84630102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20103647) 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, 4140 + ... + 7572.

It is an arithmetic number, because the mean of its divisors is an integer number (1117767).

Almost surely, 220103648 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 20103648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26826408).

20103648 is an abundant number, since it is smaller than the sum of its proper divisors (33549168).

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

20103648 is a wasteful number, since it uses less digits than its factorization.

20103648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3507 (or 3499 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 20103648 is about 4483.7091787938. The cubic root of 20103648 is about 271.9098605583.

The spelling of 20103648 in words is "twenty million, one hundred three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 3433 5856 6866 10299 13732 20598 27464 41196 54928 82392 109856 164784 209413 329568 418826 628239 837652 1256478 1675304 2512956 3350608 5025912 6701216 10051824 20103648