Search a number
-
+
1025065350 = 2325261107349
BaseRepresentation
bin111101000110010…
…100000110000110
32122102211201022100
4331012110012012
54044404042400
6245414412530
734254624501
oct7506240606
92572751270
101025065350
11486693851
12247361146
131344a505a
149a1d4138
155eed3100
hex3d194186

1025065350 has 144 divisors (see below), whose sum is σ = 2833412400. Its totient is φ = 265593600.

The previous prime is 1025065319. The next prime is 1025065367. The reversal of 1025065350 is 535605201.

1025065350 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 0 + 653 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2936976 + ... + 2937324.

It is an arithmetic number, because the mean of its divisors is an integer number (19676475).

Almost surely, 21025065350 is an apocalyptic number.

1025065350 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 1025065350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416706200).

1025065350 is an abundant number, since it is smaller than the sum of its proper divisors (1808347050).

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

1025065350 is a wasteful number, since it uses less digits than its factorization.

1025065350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1025065350 is about 32016.6417664314. The cubic root of 1025065350 is about 1008.2862648308.

The spelling of 1025065350 in words is "one billion, twenty-five million, sixty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 61 75 90 107 122 150 183 214 225 305 321 349 366 450 535 549 610 642 698 915 963 1047 1070 1098 1525 1605 1745 1830 1926 2094 2675 2745 3050 3141 3210 3490 4575 4815 5235 5350 5490 6282 6527 8025 8725 9150 9630 10470 13054 13725 15705 16050 17450 19581 21289 24075 26175 27450 31410 32635 37343 39162 42578 48150 52350 58743 63867 65270 74686 78525 97905 106445 112029 117486 127734 157050 163175 186715 191601 195810 212890 224058 293715 319335 326350 336087 373430 383202 489525 532225 560145 587430 638670 672174 933575 958005 979050 1064450 1120290 1468575 1596675 1680435 1867150 1916010 2277923 2800725 2937150 3193350 3360870 4555846 4790025 5601450 6833769 8402175 9580050 11389615 13667538 16804350 20501307 22779230 34168845 41002614 56948075 68337690 102506535 113896150 170844225 205013070 341688450 512532675 1025065350