Search a number
-
+
138989312 = 287112641
BaseRepresentation
bin10000100100011…
…00111100000000
3100200112101111022
420102030330000
5241040124222
621443005012
73305250440
oct1022147400
9320471438
10138989312
1171501800
123a669768
1322a452c7
1414660120
15c307042
hex848cf00

138989312 has 108 divisors (see below), whose sum is σ = 349057968. Its totient is φ = 54067200.

The previous prime is 138989281. The next prime is 138989317. The reversal of 138989312 is 213989831.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138989317) 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, 216512 + ... + 217152.

Almost surely, 2138989312 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 138989312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174528984).

138989312 is an abundant number, since it is smaller than the sum of its proper divisors (210068656).

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

138989312 is an equidigital number, since it uses as much as digits as its factorization.

138989312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 661 counting only the distinct ones).

The product of its digits is 93312, while the sum is 44.

The square root of 138989312 is about 11789.3728416740. The cubic root of 138989312 is about 517.9968694374.

The spelling of 138989312 in words is "one hundred thirty-eight million, nine hundred eighty-nine thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 128 154 176 224 242 256 308 352 448 484 616 641 704 847 896 968 1232 1282 1408 1694 1792 1936 2464 2564 2816 3388 3872 4487 4928 5128 6776 7051 7744 8974 9856 10256 13552 14102 15488 17948 19712 20512 27104 28204 30976 35896 41024 49357 54208 56408 71792 77561 82048 98714 108416 112816 143584 155122 164096 197428 216832 225632 287168 310244 394856 451264 542927 574336 620488 789712 902528 1085854 1148672 1240976 1579424 1805056 2171708 2481952 3158848 4343416 4963904 6317696 8686832 9927808 12635392 17373664 19855616 34747328 69494656 138989312