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138303198 = 232115911839
BaseRepresentation
bin10000011111001…
…01011011011110
3100122020112022200
420033211123132
5240401200243
621420152330
73266362215
oct1017453336
9318215280
10138303198
1171083270
123a3986a6
1322864c17
141452207c
15c21dad3
hex83e56de

138303198 has 48 divisors (see below), whose sum is σ = 332467200. Its totient is φ = 41196240.

The previous prime is 138303181. The next prime is 138303199. The reversal of 138303198 is 891303831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138303199) 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, 5763 + ... + 17601.

It is an arithmetic number, because the mean of its divisors is an integer number (6926400).

Almost surely, 2138303198 is an apocalyptic number.

138303198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138303198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166233600).

138303198 is an abundant number, since it is smaller than the sum of its proper divisors (194164002).

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

138303198 is a wasteful number, since it uses less digits than its factorization.

138303198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11917 (or 11914 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 138303198 is about 11760.2380077956. The cubic root of 138303198 is about 517.1431075639.

The spelling of 138303198 in words is "one hundred thirty-eight million, three hundred three thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 177 198 354 531 649 1062 1298 1947 3894 5841 11682 11839 23678 35517 71034 106551 130229 213102 260458 390687 698501 781374 1172061 1397002 2095503 2344122 4191006 6286509 7683511 12573018 15367022 23050533 46101066 69151599 138303198