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138034568 = 23723137307
BaseRepresentation
bin10000011101000…
…11110110001000
3100121201212211102
420032203312020
5240314101233
621410320532
73264163100
oct1016436610
9317655742
10138034568
1170a0a461
123a289148
132279c879
1414492200
15c1b91e8
hex83a3d88

138034568 has 96 divisors (see below), whose sum is σ = 320221440. Its totient is φ = 55520640.

The previous prime is 138034541. The next prime is 138034583. The reversal of 138034568 is 865430831.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 449471 + ... + 449777.

It is an arithmetic number, because the mean of its divisors is an integer number (3335640).

Almost surely, 2138034568 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 138034568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160110720).

138034568 is an abundant number, since it is smaller than the sum of its proper divisors (182186872).

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

138034568 is a wasteful number, since it uses less digits than its factorization.

138034568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 138034568 is about 11748.8113441318. The cubic root of 138034568 is about 516.8080702571.

The spelling of 138034568 in words is "one hundred thirty-eight million, thirty-four thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 31 37 49 56 62 74 98 124 148 196 217 248 259 296 307 392 434 518 614 868 1036 1147 1228 1519 1736 1813 2072 2149 2294 2456 3038 3626 4298 4588 6076 7252 8029 8596 9176 9517 11359 12152 14504 15043 16058 17192 19034 22718 30086 32116 38068 45436 56203 60172 64232 66619 76136 79513 90872 112406 120344 133238 159026 224812 266476 318052 352129 449624 466333 532952 556591 636104 704258 932666 1113182 1408516 1865332 2226364 2464903 2817032 3730664 4452728 4929806 9859612 17254321 19719224 34508642 69017284 138034568