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1479000080 = 24531797549
BaseRepresentation
bin101100000100111…
…1100000000010000
310211001222222200202
41120021330000100
511012111000310
6402432034332
751436202405
oct13011740020
93731888622
101479000080
11699947718
123533929a8
131a754b99c
141005d82ac
1589c9c3a5
hex5827c010

1479000080 has 80 divisors (see below), whose sum is σ = 3595008000. Its totient is φ = 565194240.

The previous prime is 1479000067. The next prime is 1479000097. The reversal of 1479000080 is 800009741.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192146 + ... + 199694.

It is an arithmetic number, because the mean of its divisors is an integer number (44937600).

Almost surely, 21479000080 is an apocalyptic number.

1479000080 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 1479000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797504000).

1479000080 is an abundant number, since it is smaller than the sum of its proper divisors (2116007920).

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

1479000080 is a wasteful number, since it uses less digits than its factorization.

1479000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7672 (or 7666 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 1479000080 is about 38457.7700861607. The cubic root of 1479000080 is about 1139.3471382417.

The spelling of 1479000080 in words is "one billion, four hundred seventy-nine million, eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 31 40 62 79 80 124 155 158 248 310 316 395 496 620 632 790 1240 1264 1580 2449 2480 3160 4898 6320 7549 9796 12245 15098 19592 24490 30196 37745 39184 48980 60392 75490 97960 120784 150980 195920 234019 301960 468038 596371 603920 936076 1170095 1192742 1872152 2340190 2385484 2981855 3744304 4680380 4770968 5963710 9360760 9541936 11927420 18487501 18721520 23854840 36975002 47709680 73950004 92437505 147900008 184875010 295800016 369750020 739500040 1479000080