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1025899920 = 243258317167
BaseRepresentation
bin111101001001011…
…111110110010000
32122111102010010100
4331021133312100
54100112244140
6245444332400
734265001603
oct7511376620
92574363110
101025899920
11487103881
122476a4100
13134707b96
149a37033a
15600ea530
hex3d25fd90

1025899920 has 120 divisors (see below), whose sum is σ = 3487026816. Its totient is φ = 270261504.

The previous prime is 1025899877. The next prime is 1025899937. The reversal of 1025899920 is 299985201.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51177 + ... + 68343.

Almost surely, 21025899920 is an apocalyptic number.

1025899920 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 1025899920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743513408).

1025899920 is an abundant number, since it is smaller than the sum of its proper divisors (2461126896).

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

1025899920 is a wasteful number, since it uses less digits than its factorization.

1025899920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17269 (or 17260 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 1025899920 is about 32029.6724928620. The cubic root of 1025899920 is about 1008.5598269676.

The spelling of 1025899920 in words is "one billion, twenty-five million, eight hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 83 90 120 144 166 180 240 249 332 360 415 498 664 720 747 830 996 1245 1328 1494 1660 1992 2490 2988 3320 3735 3984 4980 5976 6640 7470 9960 11952 14940 17167 19920 29880 34334 51501 59760 68668 85835 103002 137336 154503 171670 206004 257505 274672 309006 343340 412008 515010 618012 686680 772515 824016 1030020 1236024 1373360 1424861 1545030 2060040 2472048 2849722 3090060 4120080 4274583 5699444 6180120 7124305 8549166 11398888 12360240 12823749 14248610 17098332 21372915 22797776 25647498 28497220 34196664 42745830 51294996 56994440 64118745 68393328 85491660 102589992 113988880 128237490 170983320 205179984 256474980 341966640 512949960 1025899920