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980603064 = 23337773839
BaseRepresentation
bin111010011100101…
…101000010111000
32112100011210112000
4322130231002320
54002013244224
6241145421000
733204663030
oct7234550270
92470153460
10980603064
11463585661
1223449a760
131282083cc
149433c8c0
155b14e0c9
hex3a72d0b8

980603064 has 128 divisors (see below), whose sum is σ = 3120768000. Its totient is φ = 279476352.

The previous prime is 980603059. The next prime is 980603083. The reversal of 980603064 is 460306089.

980603064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1168357 + ... + 1169195.

It is an arithmetic number, because the mean of its divisors is an integer number (24381000).

Almost surely, 2980603064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 980603064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560384000).

980603064 is an abundant number, since it is smaller than the sum of its proper divisors (2140164936).

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

980603064 is a wasteful number, since it uses less digits than its factorization.

980603064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 980603064 is about 31314.5822900450. The cubic root of 980603064 is about 993.4920936983.

It can be divided in two parts, 98060 and 3064, that added together give a square (101124 = 3182).

The spelling of 980603064 in words is "nine hundred eighty million, six hundred three thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 773 839 1512 1546 1678 2319 2517 3092 3356 4638 5034 5411 5873 6184 6712 6957 7551 9276 10068 10822 11746 13914 15102 16233 17619 18552 20136 20871 21644 22653 23492 27828 30204 32466 35238 41742 43288 45306 46984 48699 52857 55656 60408 64932 70476 83484 90612 97398 105714 129864 140952 146097 158571 166968 181224 194796 211428 292194 317142 389592 422856 584388 634284 648547 1168776 1268568 1297094 1945641 2594188 3891282 4539829 5188376 5836923 7782564 9079658 11673846 13619487 15565128 17510769 18159316 23347692 27238974 35021538 36318632 40858461 46695384 54477948 70043076 81716922 108955896 122575383 140086152 163433844 245150766 326867688 490301532 980603064