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138098352 = 2437411007
BaseRepresentation
bin10000011101100…
…11011010110000
3100121212010022210
420032303122300
5240323121402
621411532120
73264550050
oct1016633260
9317763283
10138098352
1170a53377
123a2ba040
13227c2902
14144ab560
15c1cd06c
hex83b36b0

138098352 has 40 divisors (see below), whose sum is σ = 407719936. Its totient is φ = 39456576.

The previous prime is 138098351. The next prime is 138098353. The reversal of 138098352 is 253890831.

138098352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138098351) and next prime (138098353).

It is a self number, because there is not a number n which added to its sum of digits gives 138098352.

It is not an unprimeable number, because it can be changed into a prime (138098351) 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 7 ways as a sum of consecutive naturals, for example, 205168 + ... + 205839.

Almost surely, 2138098352 is an apocalyptic number.

138098352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138098352 is an abundant number, since it is smaller than the sum of its proper divisors (269621584).

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

138098352 is a wasteful number, since it uses less digits than its factorization.

138098352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411025 (or 411019 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 138098352 is about 11751.5255179913. The cubic root of 138098352 is about 516.8876614549.

The spelling of 138098352 in words is "one hundred thirty-eight million, ninety-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 411007 822014 1233021 1644028 2466042 2877049 3288056 4932084 5754098 6576112 8631147 9864168 11508196 17262294 19728336 23016392 34524588 46032784 69049176 138098352