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1025806080 = 28351320549
BaseRepresentation
bin111101001001001…
…000111100000000
32122111020100101210
4331021020330000
54100101243310
6245442330120
734264131165
oct7511107400
92574210353
101025806080
1148704a322
12247659940
131346a4260
149a34806c
15600cc820
hex3d248f00

1025806080 has 144 divisors (see below), whose sum is σ = 3528352800. Its totient is φ = 252493824.

The previous prime is 1025806063. The next prime is 1025806087. The reversal of 1025806080 is 806085201.

It is a super-2 number, since 2×10258060802 = 2104556227529932800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025806087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39646 + ... + 60194.

It is an arithmetic number, because the mean of its divisors is an integer number (24502450).

Almost surely, 21025806080 is an apocalyptic number.

1025806080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764176400).

1025806080 is an abundant number, since it is smaller than the sum of its proper divisors (2502546720).

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

1025806080 is a wasteful number, since it uses less digits than its factorization.

1025806080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20586 (or 20572 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 1025806080 is about 32028.2075677051. The cubic root of 1025806080 is about 1008.5290747347.

The spelling of 1025806080 in words is "one billion, twenty-five million, eight hundred six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1664 1920 2080 2496 3120 3328 3840 4160 4992 6240 8320 9984 12480 16640 20549 24960 41098 49920 61647 82196 102745 123294 164392 205490 246588 267137 308235 328784 410980 493176 534274 616470 657568 801411 821960 986352 1068548 1232940 1315136 1335685 1602822 1643920 1972704 2137096 2465880 2630272 2671370 3205644 3287840 3945408 4007055 4274192 4931760 5260544 5342740 6411288 6575680 7890816 8014110 8548384 9863520 10685480 12822576 13151360 15781632 16028220 17096768 19727040 21370960 25645152 26302720 32056440 34193536 39454080 42741920 51290304 64112880 68387072 78908160 85483840 102580608 128225760 170967680 205161216 256451520 341935360 512903040 1025806080