Search a number
-
+
1325000430 = 234513294339
BaseRepresentation
bin100111011111001…
…1110011011101110
310102100012222220000
41032332132123232
510203200003210
6335251205130
744556214005
oct11676363356
93370188800
101325000430
1161aa23486
1230b8a67a6
1318167c430
14c7d8bc3c
157b4ccac0
hex4ef9e6ee

1325000430 has 160 divisors (see below), whose sum is σ = 3970058400. Its totient is φ = 314834688.

The previous prime is 1325000389. The next prime is 1325000441. The reversal of 1325000430 is 340005231.

1325000430 is a `hidden beast` number, since 132 + 500 + 0 + 4 + 30 = 666.

It is a super-2 number, since 2×13250004302 = 3511252279000369800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 303201 + ... + 307539.

It is an arithmetic number, because the mean of its divisors is an integer number (24812865).

Almost surely, 21325000430 is an apocalyptic number.

1325000430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1325000430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985029200).

1325000430 is an abundant number, since it is smaller than the sum of its proper divisors (2645057970).

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

1325000430 is a wasteful number, since it uses less digits than its factorization.

1325000430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1325000430 is about 36400.5553529064. Note that the first 3 decimals coincide. The cubic root of 1325000430 is about 1098.3447363285.

Adding to 1325000430 its reverse (340005231), we get a palindrome (1665005661).

The spelling of 1325000430 in words is "one billion, three hundred twenty-five million, four hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 29 30 39 45 54 58 65 78 81 87 90 117 130 135 145 162 174 195 234 261 270 290 351 377 390 405 435 522 585 702 754 783 810 870 1053 1131 1170 1305 1566 1755 1885 2106 2262 2349 2610 3393 3510 3770 3915 4339 4698 5265 5655 6786 7830 8678 10179 10530 11310 11745 13017 16965 20358 21695 23490 26034 30537 33930 39051 43390 50895 56407 61074 65085 78102 101790 112814 117153 125831 130170 152685 169221 195255 234306 251662 282035 305370 338442 351459 377493 390510 507663 564070 585765 629155 702918 754986 846105 1015326 1132479 1171530 1258310 1522989 1635803 1692210 1757295 1887465 2264958 2538315 3045978 3271606 3397437 3514590 3774930 4568967 4907409 5076630 5662395 6794874 7614945 8179015 9137934 9814818 10192311 11324790 14722227 15229890 16358030 16987185 20384622 22844835 24537045 29444454 33974370 44166681 45689670 49074090 50961555 73611135 88333362 101923110 132500043 147222270 220833405 265000086 441666810 662500215 1325000430