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20147634 = 23213292969
BaseRepresentation
bin100110011011…
…0110110110010
31101220121100200
41030312312302
520124211014
61555500030
7333152313
oct114666662
941817320
1020147634
1110411241
1268b7616
1342356a0
14296660a
151b7ea09
hex1336db2

20147634 has 48 divisors (see below), whose sum is σ = 48648600. Its totient is φ = 5983488.

The previous prime is 20147623. The next prime is 20147671. The reversal of 20147634 is 43674102.

20147634 is a `hidden beast` number, since 20 + 1 + 4 + 7 + 634 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7209225 + 12938409 = 2685^2 + 3597^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20147598 and 20147607.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5302 + ... + 8270.

Almost surely, 220147634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20147634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24324300).

20147634 is an abundant number, since it is smaller than the sum of its proper divisors (28500966).

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

20147634 is a wasteful number, since it uses less digits than its factorization.

20147634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3019 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 20147634 is about 4488.6115893447. The cubic root of 20147634 is about 272.1080255029.

The spelling of 20147634 in words is "twenty million, one hundred forty-seven thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1131 2262 2969 3393 5938 6786 8907 17814 26721 38597 53442 77194 86101 115791 172202 231582 258303 347373 516606 694746 774909 1119313 1549818 2238626 3357939 6715878 10073817 20147634