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1530125640 = 23345472261
BaseRepresentation
bin101101100110011…
…1101110101001000
310221122012102210000
41123030331311020
511113203010030
6411455523000
752626565461
oct13314756510
93848172700
101530125640
1171579704a
12368529460
131b500c4b4
14107305d68
158e4ea860
hex5b33dd48

1530125640 has 80 divisors (see below), whose sum is σ = 5142933180. Its totient is φ = 408032640.

The previous prime is 1530125633. The next prime is 1530125671. The reversal of 1530125640 is 465210351.

1530125640 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 12 + 5 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1274061636 + 256064004 = 35694^2 + 16002^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 232891 + ... + 239370.

Almost surely, 21530125640 is an apocalyptic number.

1530125640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1530125640 is an abundant number, since it is smaller than the sum of its proper divisors (3612807540).

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

1530125640 is a wasteful number, since it uses less digits than its factorization.

1530125640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472284 (or 472271 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1530125640 is about 39116.8204229332. The cubic root of 1530125640 is about 1152.3268929088.

Adding to 1530125640 its reverse (465210351), we get a palindrome (1995335991).

It can be divided in two parts, 1 and 530125640, that added together give a triangular number (530125641 = T32561).

The spelling of 1530125640 in words is "one billion, five hundred thirty million, one hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 472261 944522 1416783 1889044 2361305 2833566 3778088 4250349 4722610 5667132 7083915 8500698 9445220 11334264 12751047 14167830 17001396 18890440 21251745 25502094 28335660 34002792 38253141 42503490 51004188 56671320 63755235 76506282 85006980 102008376 127510470 153012564 170013960 191265705 255020940 306025128 382531410 510041880 765062820 1530125640