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1530464 = 25132283
BaseRepresentation
bin101110101101001100000
32212202101212
411311221200
5342433324
652445252
716002665
oct5655140
92782355
101530464
11955951
12619828
13417800
142bba6c
1520370e
hex175a60

1530464 has 36 divisors (see below), whose sum is σ = 3274236. Its totient is φ = 703872.

The previous prime is 1530457. The next prime is 1530511. The reversal of 1530464 is 4640351.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5267 + ... + 5549.

It is an arithmetic number, because the mean of its divisors is an integer number (90951).

21530464 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 1530464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637118).

1530464 is an abundant number, since it is smaller than the sum of its proper divisors (1743772).

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

1530464 is a wasteful number, since it uses less digits than its factorization.

1530464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 1530464 is about 1237.1192343505. The cubic root of 1530464 is about 115.2411825497.

The spelling of 1530464 in words is "one million, five hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 283 338 416 566 676 1132 1352 2264 2704 3679 4528 5408 7358 9056 14716 29432 47827 58864 95654 117728 191308 382616 765232 1530464