Search a number
-
+
1530353088 = 26341147571
BaseRepresentation
bin101101100110111…
…0101010111000000
310221122121222210000
41123031311113000
511113232244323
6411504440000
752631533545
oct13315652700
93848558700
101530353088
11715931a20
12368619000
131b508bb94
14107364bcc
158e542e43
hex5b3755c0

1530353088 has 280 divisors, whose sum is σ = 5062996224. Its totient is φ = 453081600.

The previous prime is 1530353063. The next prime is 1530353117. The reversal of 1530353088 is 8803530351.

1530353088 is a `hidden beast` number, since 15 + 30 + 3 + 530 + 88 = 666.

It is a super-2 number, since 2×15303530882 = 4683961147902271488, 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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2679843 + ... + 2680413.

Almost surely, 21530353088 is an apocalyptic number.

1530353088 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 1530353088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531498112).

1530353088 is an abundant number, since it is smaller than the sum of its proper divisors (3532643136).

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

1530353088 is a wasteful number, since it uses less digits than its factorization.

1530353088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1530353088 is about 39119.7276064136. The cubic root of 1530353088 is about 1152.3839865781.

The spelling of 1530353088 in words is "one billion, five hundred thirty million, three hundred fifty-three thousand, eighty-eight".