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980520960 = 2123515959
BaseRepresentation
bin111010011100011…
…001000000000000
32112100000121220010
4322130121000000
54002003132320
6241143544520
733204201456
oct7234310000
92470017803
10980520960
11463529a01
1223445b140
131281a9c23
149431a9d6
155b134ae0
hex3a719000

980520960 has 104 divisors (see below), whose sum is σ = 3137480640. Its totient is φ = 261455872.

The previous prime is 980520953. The next prime is 980520967. The reversal of 980520960 is 69025089.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (980520953) and next prime (980520967).

It is a super-2 number, since 2×9805209602 = 1922842705998643200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (980520967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53461 + ... + 69419.

Almost surely, 2980520960 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 980520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568740320).

980520960 is an abundant number, since it is smaller than the sum of its proper divisors (2156959680).

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

980520960 is a wasteful number, since it uses less digits than its factorization.

980520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15991 (or 15969 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 980520960 is about 31313.2713078656. The cubic root of 980520960 is about 993.4643651999.

The spelling of 980520960 in words is "nine hundred eighty million, five hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 10240 12288 15360 15959 20480 30720 31918 47877 61440 63836 79795 95754 127672 159590 191508 239385 255344 319180 383016 478770 510688 638360 766032 957540 1021376 1276720 1532064 1915080 2042752 2553440 3064128 3830160 4085504 5106880 6128256 7660320 8171008 10213760 12256512 15320640 16342016 20427520 24513024 30641280 32684032 40855040 49026048 61282560 65368064 81710080 98052096 122565120 163420160 196104192 245130240 326840320 490260480 980520960