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1530039168 = 273271711161
BaseRepresentation
bin101101100110010…
…1000101110000000
310221122001001011100
41123030220232000
511113142223133
6411454014400
752626055410
oct13314505600
93848031140
101530039168
11715738089
123684a7400
131b4cac028
141072c2640
158e4cee13
hex5b328b80

1530039168 has 192 divisors, whose sum is σ = 5328292320. Its totient is φ = 411402240.

The previous prime is 1530039167. The next prime is 1530039223. The reversal of 1530039168 is 8619300351.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×15300391682 = 4682039711228264448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1530039167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131508 + ... + 142668.

Almost surely, 21530039168 is an apocalyptic number.

1530039168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1530039168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664146160).

1530039168 is an abundant number, since it is smaller than the sum of its proper divisors (3798253152).

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

1530039168 is a wasteful number, since it uses less digits than its factorization.

1530039168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11205 (or 11190 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1530039168 is about 39115.7151027563. The cubic root of 1530039168 is about 1152.3051853475.

It can be divided in two parts, 15300 and 39168, that multiplied together give a square (599270400 = 244802).

The spelling of 1530039168 in words is "one billion, five hundred thirty million, thirty-nine thousand, one hundred sixty-eight".