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980047080 = 233357112781
BaseRepresentation
bin111010011010100…
…101010011101000
32112022010112212000
4322122211103220
54001343001310
6241125451000
733200156055
oct7232452350
92468115760
10980047080
11463235971
12234270a60
1312807231c
149423602c
155b08e4c0
hex3a6a54e8

980047080 has 128 divisors (see below), whose sum is σ = 3313094400. Its totient is φ = 257644800.

The previous prime is 980047073. The next prime is 980047087. The reversal of 980047080 is 80740089.

980047080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (980047073) and next prime (980047087).

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

It is not an unprimeable number, because it can be changed into a prime (980047087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70290 + ... + 83070.

It is an arithmetic number, because the mean of its divisors is an integer number (25883550).

Almost surely, 2980047080 is an apocalyptic number.

980047080 is a gapful number since it is divisible by the number (90) 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 980047080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656547200).

980047080 is an abundant number, since it is smaller than the sum of its proper divisors (2333047320).

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

980047080 is a wasteful number, since it uses less digits than its factorization.

980047080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12872 (or 12862 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 980047080 is about 31305.7036336831. The cubic root of 980047080 is about 993.3042942529.

The spelling of 980047080 in words is "nine hundred eighty million, forty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 71 72 90 108 120 135 142 180 213 216 270 284 355 360 426 540 568 639 710 852 1065 1080 1278 1420 1704 1917 2130 2556 2840 3195 3834 4260 5112 6390 7668 8520 9585 12780 12781 15336 19170 25560 25562 38340 38343 51124 63905 76680 76686 102248 115029 127810 153372 191715 230058 255620 306744 345087 383430 460116 511240 575145 690174 766860 907451 920232 1150290 1380348 1533720 1725435 1814902 2300580 2722353 2760696 3450870 3629804 4537255 4601160 5444706 6901740 7259608 8167059 9074510 10889412 13611765 13803480 16334118 18149020 21778824 24501177 27223530 32668236 36298040 40835295 49002354 54447060 65336472 81670590 98004708 108894120 122505885 163341180 196009416 245011770 326682360 490023540 980047080