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986081220 = 2232527719777
BaseRepresentation
bin111010110001100…
…110011111000100
32112201111010010200
4322301212133010
54004414044340
6241503050500
733302360235
oct7261463704
92481433120
10986081220
11466687463
122362a0a30
131293a5a17
1494d6708c
155b882330
hex3ac667c4

986081220 has 72 divisors (see below), whose sum is σ = 3002063064. Its totient is φ = 261992448.

The previous prime is 986081183. The next prime is 986081221. The reversal of 986081220 is 22180689.

It can be written as a sum of positive squares in 4 ways, for example, as 15634116 + 970447104 = 3954^2 + 31152^2 .

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 (986081221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39972 + ... + 59748.

Almost surely, 2986081220 is an apocalyptic number.

986081220 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 986081220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501031532).

986081220 is an abundant number, since it is smaller than the sum of its proper divisors (2015981844).

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

986081220 is a wasteful number, since it uses less digits than its factorization.

986081220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20069 (or 20064 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 986081220 is about 31401.9301954514. The cubic root of 986081220 is about 995.3387128281.

The spelling of 986081220 in words is "nine hundred eighty-six million, eighty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 277 554 831 1108 1385 1662 2493 2770 3324 4155 4986 5540 8310 9972 12465 16620 19777 24930 39554 49860 59331 79108 98885 118662 177993 197770 237324 296655 355986 395540 593310 711972 889965 1186620 1779930 3559860 5478229 10956458 16434687 21912916 27391145 32869374 49304061 54782290 65738748 82173435 98608122 109564580 164346870 197216244 246520305 328693740 493040610 986081220