Search a number
-
+
980248320 = 2832585091
BaseRepresentation
bin111010011011010…
…110011100000000
32112022111202220100
4322123112130000
54001420421240
6241134042400
733201654552
oct7233263400
92468452810
10980248320
11463363087
12234349400
13128112abc
14942894d2
155b0cde30
hex3a6d6700

980248320 has 108 divisors (see below), whose sum is σ = 3391596936. Its totient is φ = 261396480.

The previous prime is 980248279. The next prime is 980248337. The reversal of 980248320 is 23842089.

980248320 is a `hidden beast` number, since 98 + 0 + 248 + 320 = 666.

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 11 ways as a sum of consecutive naturals, for example, 31026 + ... + 54065.

Almost surely, 2980248320 is an apocalyptic number.

980248320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

980248320 is an abundant number, since it is smaller than the sum of its proper divisors (2411348616).

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

980248320 is a wasteful number, since it uses less digits than its factorization.

980248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85118 (or 85101 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 980248320 is about 31308.9175795012. The cubic root of 980248320 is about 993.3722769992.

The spelling of 980248320 in words is "nine hundred eighty million, two hundred forty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 85091 170182 255273 340364 425455 510546 680728 765819 850910 1021092 1276365 1361456 1531638 1701820 2042184 2552730 2722912 3063276 3403640 3829095 4084368 5105460 5445824 6126552 6807280 7658190 8168736 10210920 10891648 12253104 13614560 15316380 16337472 20421840 21783296 24506208 27229120 30632760 32674944 40843680 49012416 54458240 61265520 65349888 81687360 98024832 108916480 122531040 163374720 196049664 245062080 326749440 490124160 980248320