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1530106160 = 2451112713691
BaseRepresentation
bin101101100110011…
…1001000100110000
310221122011110001112
41123030321010300
511113201344120
6411455252452
752626454622
oct13314710460
93848143045
101530106160
11715783450
1236851a128
131b500367b
141072dcc12
158e4e4bc5
hex5b339130

1530106160 has 80 divisors (see below), whose sum is σ = 3911749632. Its totient is φ = 551980800.

The previous prime is 1530106159. The next prime is 1530106169. The reversal of 1530106160 is 616010351.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1530106169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104915 + ... + 118605.

Almost surely, 21530106160 is an apocalyptic number.

1530106160 is a gapful number since it is divisible by the number (10) 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 1530106160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955874816).

1530106160 is an abundant number, since it is smaller than the sum of its proper divisors (2381643472).

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

1530106160 is a wasteful number, since it uses less digits than its factorization.

1530106160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13842 (or 13836 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 1530106160 is about 39116.5714243976. The cubic root of 1530106160 is about 1152.3220028042.

The spelling of 1530106160 in words is "one billion, five hundred thirty million, one hundred six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 127 176 220 254 440 508 635 880 1016 1270 1397 2032 2540 2794 5080 5588 6985 10160 11176 13691 13970 22352 27382 27940 54764 55880 68455 109528 111760 136910 150601 219056 273820 301202 547640 602404 753005 1095280 1204808 1506010 1738757 2409616 3012020 3477514 6024040 6955028 8693785 12048080 13910056 17387570 19126327 27820112 34775140 38252654 69550280 76505308 95631635 139100560 153010616 191263270 306021232 382526540 765053080 1530106160