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1296528930 = 23555310067
BaseRepresentation
bin100110101000111…
…0111011000100010
310100100122111100000
41031101313120202
510123402411210
6332353040430
744062212504
oct11521673042
93310574300
101296528930
11605947414
12302256116
131787c10a8
14c4299d74
1578c56ac0
hex4d477622

1296528930 has 96 divisors (see below), whose sum is σ = 3562138944. Its totient is φ = 339183936.

The previous prime is 1296528917. The next prime is 1296528931. The reversal of 1296528930 is 398256921.

1296528930 is a `hidden beast` number, since 1 + 2 + 96 + 528 + 9 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1296528931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123757 + ... + 133823.

It is an arithmetic number, because the mean of its divisors is an integer number (37105614).

Almost surely, 21296528930 is an apocalyptic number.

1296528930 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 1296528930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781069472).

1296528930 is an abundant number, since it is smaller than the sum of its proper divisors (2265610014).

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

1296528930 is a wasteful number, since it uses less digits than its factorization.

1296528930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10142 (or 10130 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1296528930 is about 36007.3455006058. The cubic root of 1296528930 is about 1090.4206579942.

The spelling of 1296528930 in words is "one billion, two hundred ninety-six million, five hundred twenty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 243 265 270 318 405 477 486 530 795 810 954 1215 1431 1590 2385 2430 2862 4293 4770 7155 8586 10067 12879 14310 20134 21465 25758 30201 42930 50335 60402 64395 90603 100670 128790 151005 181206 271809 302010 453015 533551 543618 815427 906030 1067102 1359045 1600653 1630854 2446281 2667755 2718090 3201306 4077135 4801959 4892562 5335510 8003265 8154270 9603918 12231405 14405877 16006530 24009795 24462810 28811754 43217631 48019590 72029385 86435262 129652893 144058770 216088155 259305786 432176310 648264465 1296528930