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138010880 = 285773211
BaseRepresentation
bin10000011100111…
…10000100000000
3100121200200100002
420032132010000
5240312322010
621410015132
73264034040
oct1016360400
9317620302
10138010880
11709a3687
123a2774a8
1322791b57
1414487720
15c1b21a5
hex839e100

138010880 has 144 divisors (see below), whose sum is σ = 384795264. Its totient is φ = 46448640.

The previous prime is 138010861. The next prime is 138010883. The reversal of 138010880 is 88010831.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (138010883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 653975 + ... + 654185.

Almost surely, 2138010880 is an apocalyptic number.

138010880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192397632).

138010880 is an abundant number, since it is smaller than the sum of its proper divisors (246784384).

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

138010880 is an equidigital number, since it uses as much as digits as its factorization.

138010880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 29.

The square root of 138010880 is about 11747.8031988964. The cubic root of 138010880 is about 516.7785055616.

The spelling of 138010880 in words is "one hundred thirty-eight million, ten thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 73 80 112 128 140 146 160 211 224 256 280 292 320 365 422 448 511 560 584 640 730 844 896 1022 1055 1120 1168 1280 1460 1477 1688 1792 2044 2110 2240 2336 2555 2920 2954 3376 4088 4220 4480 4672 5110 5840 5908 6752 7385 8176 8440 8960 9344 10220 11680 11816 13504 14770 15403 16352 16880 18688 20440 23360 23632 27008 29540 30806 32704 33760 40880 46720 47264 54016 59080 61612 65408 67520 77015 81760 93440 94528 107821 118160 123224 130816 135040 154030 163520 189056 215642 236320 246448 270080 308060 327040 378112 431284 472640 492896 539105 616120 654080 862568 945280 985792 1078210 1232240 1725136 1890560 1971584 2156420 2464480 3450272 3943168 4312840 4928960 6900544 8625680 9857920 13801088 17251360 19715840 27602176 34502720 69005440 138010880