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98138340 = 22325545213
BaseRepresentation
bin1011101100101…
…11100011100100
320211122221111100
411312113203210
5200110411330
613423240100
72301106416
oct566274344
9224587440
1098138340
115043a873
1228a49030
1317441331
14d0689b6
158938060
hex5d978e4

98138340 has 36 divisors (see below), whose sum is σ = 297686844. Its totient is φ = 26170176.

The previous prime is 98138329. The next prime is 98138347. The reversal of 98138340 is 4383189.

It can be written as a sum of positive squares in 2 ways, for example, as 42068196 + 56070144 = 6486^2 + 7488^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×981383402 = 19262267555911200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 98138295 and 98138304.

It is not an unprimeable number, because it can be changed into a prime (98138347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 272427 + ... + 272786.

It is an arithmetic number, because the mean of its divisors is an integer number (8269079).

Almost surely, 298138340 is an apocalyptic number.

98138340 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

98138340 is an abundant number, since it is smaller than the sum of its proper divisors (199548504).

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

98138340 is a wasteful number, since it uses less digits than its factorization.

98138340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545228 (or 545223 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 98138340 is about 9906.4796976524. The cubic root of 98138340 is about 461.2604686191.

The spelling of 98138340 in words is "ninety-eight million, one hundred thirty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 545213 1090426 1635639 2180852 2726065 3271278 4906917 5452130 6542556 8178195 9813834 10904260 16356390 19627668 24534585 32712780 49069170 98138340