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147104128 = 2717671009
BaseRepresentation
bin10001100010010…
…10000110000000
3101020210122221001
420301022012000
5300124313003
622332541344
73434236003
oct1061120600
9336718831
10147104128
1176044566
1241321854
1324626a82
141577353a
15cdab61d
hex8c4a180

147104128 has 64 divisors (see below), whose sum is σ = 315241200. Its totient is φ = 68124672.

The previous prime is 147104101. The next prime is 147104131. The reversal of 147104128 is 821401741.

147104128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

147104128 is a nontrivial binomial coefficient, being equal to C(17153, 2).

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

It is a junction number, because it is equal to n+sod(n) for n = 147104096 and 147104105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145288 + ... + 146296.

Almost surely, 2147104128 is an apocalyptic number.

147104128 is the 17152-nd triangular number.

147104128 is the 5718-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147104128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157620600).

147104128 is an abundant number, since it is smaller than the sum of its proper divisors (168137072).

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

147104128 is a wasteful number, since it uses less digits than its factorization.

147104128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 147104128 is about 12128.6490591492. The cubic root of 147104128 is about 527.8877937262.

Adding to 147104128 its reverse (821401741), we get a palindrome (968505869).

The spelling of 147104128 in words is "one hundred forty-seven million, one hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 67 68 128 134 136 268 272 536 544 1009 1072 1088 1139 2018 2144 2176 2278 4036 4288 4556 8072 8576 9112 16144 17153 18224 32288 34306 36448 64576 67603 68612 72896 129152 135206 137224 145792 270412 274448 540824 548896 1081648 1097792 1149251 2163296 2195584 2298502 4326592 4597004 8653184 9194008 18388016 36776032 73552064 147104128