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1530141160 = 23553817109
BaseRepresentation
bin101101100110100…
…0001100111101000
310221122020020001211
41123031001213220
511113204004120
6411500122504
752626661642
oct13315014750
93848206054
101530141160
117157a7779
12368536434
131b5016592
1410730b892
158e50025a
hex5b3419e8

1530141160 has 32 divisors (see below), whose sum is σ = 3443941800. Its totient is φ = 611856640.

The previous prime is 1530141149. The next prime is 1530141161. The reversal of 1530141160 is 611410351.

It can be written as a sum of positive squares in 4 ways, for example, as 816930724 + 713210436 = 28582^2 + 26706^2 .

It is a super-2 number, since 2×15301411602 = 4682663939052291200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1530141161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211686 + ... + 218794.

Almost surely, 21530141160 is an apocalyptic number.

1530141160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1530141160 is an abundant number, since it is smaller than the sum of its proper divisors (1913800640).

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

1530141160 is a wasteful number, since it uses less digits than its factorization.

1530141160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12501 (or 12497 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 1530141160 is about 39117.0188025621. The cubic root of 1530141160 is about 1152.3307888967.

The spelling of 1530141160 in words is "one billion, five hundred thirty million, one hundred forty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 5381 7109 10762 14218 21524 26905 28436 35545 43048 53810 56872 71090 107620 142180 215240 284360 38253529 76507058 153014116 191267645 306028232 382535290 765070580 1530141160