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1026482130 = 232597307383
BaseRepresentation
bin111101001011101…
…101111111010010
32122112111200202200
4331023231333102
54100234412010
6245505024030
734302645162
oct7513557722
92575450680
101026482130
11487471243
12247925016
1313487cb9b
149a4825a2
15601b2cc0
hex3d2edfd2

1026482130 has 96 divisors (see below), whose sum is σ = 2712213504. Its totient is φ = 269319168.

The previous prime is 1026482069. The next prime is 1026482141. The reversal of 1026482130 is 312846201.

1026482130 is a `hidden beast` number, since 1 + 0 + 2 + 648 + 2 + 13 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1026482094 and 1026482103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2679919 + ... + 2680301.

It is an arithmetic number, because the mean of its divisors is an integer number (28252224).

Almost surely, 21026482130 is an apocalyptic number.

1026482130 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 1026482130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356106752).

1026482130 is an abundant number, since it is smaller than the sum of its proper divisors (1685731374).

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

1026482130 is a wasteful number, since it uses less digits than its factorization.

1026482130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1026482130 is about 32038.7598074582. The cubic root of 1026482130 is about 1008.7505806531.

The spelling of 1026482130 in words is "one billion, twenty-six million, four hundred eighty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 307 383 485 582 614 766 873 921 970 1149 1455 1535 1746 1842 1915 2298 2763 2910 3070 3447 3830 4365 4605 5526 5745 6894 8730 9210 11490 13815 17235 27630 29779 34470 37151 59558 74302 89337 111453 117581 148895 178674 185755 222906 235162 268011 297790 334359 352743 371510 446685 536022 557265 587905 668718 705486 893370 1058229 1114530 1175810 1340055 1671795 1763715 2116458 2680110 3343590 3527430 5291145 10582290 11405357 22810714 34216071 57026785 68432142 102648213 114053570 171080355 205296426 342160710 513241065 1026482130