Search a number
-
+
1025406960 = 24354272529
BaseRepresentation
bin111101000111100…
…111011111110000
32122110111001220120
4331013213133300
54100001010320
6245430010240
734260546444
oct7507473760
92573431816
101025406960
114868a7476
122474a6980
131345946a6
149a282824
156004e440
hex3d1e77f0

1025406960 has 40 divisors (see below), whose sum is σ = 3178762320. Its totient is φ = 273441792.

The previous prime is 1025406959. The next prime is 1025406973. The reversal of 1025406960 is 696045201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2136025 + ... + 2136504.

It is an arithmetic number, because the mean of its divisors is an integer number (79469058).

Almost surely, 21025406960 is an apocalyptic number.

1025406960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1025406960 is an abundant number, since it is smaller than the sum of its proper divisors (2153355360).

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

1025406960 is a wasteful number, since it uses less digits than its factorization.

1025406960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272545 (or 4272539 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1025406960 is about 32021.9762038510. The cubic root of 1025406960 is about 1008.3982584761.

The spelling of 1025406960 in words is "one billion, twenty-five million, four hundred six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4272529 8545058 12817587 17090116 21362645 25635174 34180232 42725290 51270348 64087935 68360464 85450580 102540696 128175870 170901160 205081392 256351740 341802320 512703480 1025406960