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1025408080 = 245233117977
BaseRepresentation
bin111101000111100…
…111110001010000
32122110111010110001
4331013213301100
54100001024310
6245430015344
734260552634
oct7507476120
92573433401
101025408080
114868a82a4
122474a7554
13134595058
149a282dc4
156004e93a
hex3d1e7c50

1025408080 has 80 divisors (see below), whose sum is σ = 2568121344. Its totient is φ = 379653120.

The previous prime is 1025408077. The next prime is 1025408089. The reversal of 1025408080 is 808045201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025408089) 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, 48052 + ... + 66028.

Almost surely, 21025408080 is an apocalyptic number.

1025408080 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 1025408080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284060672).

1025408080 is an abundant number, since it is smaller than the sum of its proper divisors (1542713264).

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

1025408080 is a wasteful number, since it uses less digits than its factorization.

1025408080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18044 (or 18038 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 1025408080 is about 32021.9936918362. The cubic root of 1025408080 is about 1008.3986256167.

The spelling of 1025408080 in words is "one billion, twenty-five million, four hundred eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 31 40 46 62 80 92 115 124 155 184 230 248 310 368 460 496 620 713 920 1240 1426 1840 2480 2852 3565 5704 7130 11408 14260 17977 28520 35954 57040 71908 89885 143816 179770 287632 359540 413471 557287 719080 826942 1114574 1438160 1653884 2067355 2229148 2786435 3307768 4134710 4458296 5572870 6615536 8269420 8916592 11145740 12817601 16538840 22291480 25635202 33077680 44582960 51270404 64088005 102540808 128176010 205081616 256352020 512704040 1025408080