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98066920 = 2357577607
BaseRepresentation
bin1011101100001…
…10000111101000
320211112022112011
411312012013220
5200101120140
613421525304
72300361250
oct566060750
9224468464
1098066920
11503a1146
1228a13834
1317417983
14d04a960
158921cea
hex5d861e8

98066920 has 64 divisors (see below), whose sum is σ = 253025280. Its totient is φ = 33509376.

The previous prime is 98066879. The next prime is 98066921. The reversal of 98066920 is 2966089.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (98066921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161257 + ... + 161863.

It is an arithmetic number, because the mean of its divisors is an integer number (3953520).

Almost surely, 298066920 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 98066920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126512640).

98066920 is an abundant number, since it is smaller than the sum of its proper divisors (154958360).

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

98066920 is a wasteful number, since it uses less digits than its factorization.

98066920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 98066920 is about 9902.8743302134. The cubic root of 98066920 is about 461.1485476398.

The spelling of 98066920 in words is "ninety-eight million, sixty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 577 607 1154 1214 2308 2428 2885 3035 4039 4249 4616 4856 5770 6070 8078 8498 11540 12140 16156 16996 20195 21245 23080 24280 32312 33992 40390 42490 80780 84980 161560 169960 350239 700478 1400956 1751195 2451673 2801912 3502390 4903346 7004780 9806692 12258365 14009560 19613384 24516730 49033460 98066920