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138316248 = 2334730493
BaseRepresentation
bin10000011111010…
…00100111011000
3100122021012020000
420033220213120
5240402104443
621420333000
73266445240
oct1017504730
9318235200
10138316248
1171092054
123a3a4160
132286ab45
1414526b20
15c2228d3
hex83e89d8

138316248 has 80 divisors (see below), whose sum is σ = 442772880. Its totient is φ = 39517632.

The previous prime is 138316223. The next prime is 138316271. The reversal of 138316248 is 842613831.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 10711 + ... + 19782.

It is an arithmetic number, because the mean of its divisors is an integer number (5534661).

Almost surely, 2138316248 is an apocalyptic number.

138316248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138316248 is an abundant number, since it is smaller than the sum of its proper divisors (304456632).

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

138316248 is a wasteful number, since it uses less digits than its factorization.

138316248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30518 (or 30505 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 138316248 is about 11760.7928304175. The cubic root of 138316248 is about 517.1593725657.

The spelling of 138316248 in words is "one hundred thirty-eight million, three hundred sixteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 30493 60986 91479 121972 182958 213451 243944 274437 365916 426902 548874 640353 731832 823311 853804 1097748 1280706 1646622 1707608 1921059 2195496 2469933 2561412 3293244 3842118 4939866 5122824 5763177 6586488 7684236 9879732 11526354 15368472 17289531 19759464 23052708 34579062 46105416 69158124 138316248