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138299928 = 233133179181
BaseRepresentation
bin10000011111001…
…00101000011000
3100122020100211120
420033210220120
5240401044203
621420125240
73266346534
oct1017445030
9318210746
10138299928
1171080868
123a396820
13228635a0
1414520bc4
15c21cb53
hex83e4a18

138299928 has 128 divisors (see below), whose sum is σ = 391372800. Its totient is φ = 40435200.

The previous prime is 138299923. The next prime is 138299957. The reversal of 138299928 is 829992831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138299923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 763998 + ... + 764178.

It is an arithmetic number, because the mean of its divisors is an integer number (3057600).

Almost surely, 2138299928 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 138299928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195686400).

138299928 is an abundant number, since it is smaller than the sum of its proper divisors (253072872).

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

138299928 is a wasteful number, since it uses less digits than its factorization.

138299928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 309 counting only the distinct ones).

The product of its digits is 559872, while the sum is 51.

The square root of 138299928 is about 11760.0989791753. The cubic root of 138299928 is about 517.1390318054.

The spelling of 138299928 in words is "one hundred thirty-eight million, two hundred ninety-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 79 93 104 124 156 158 181 186 237 248 312 316 362 372 403 474 543 632 724 744 806 948 1027 1086 1209 1448 1612 1896 2054 2172 2353 2418 2449 3081 3224 4108 4344 4706 4836 4898 5611 6162 7059 7347 8216 9412 9672 9796 11222 12324 14118 14299 14694 16833 18824 19592 22444 24648 28236 28598 29388 31837 33666 42897 44888 56472 57196 58776 63674 67332 72943 85794 95511 114392 127348 134664 145886 171588 185887 191022 218829 254696 291772 343176 371774 382044 437658 443269 557661 583544 743548 764088 875316 886538 1115322 1329807 1487096 1750632 1773076 2230644 2659614 3546152 4461288 5319228 5762497 10638456 11524994 17287491 23049988 34574982 46099976 69149964 138299928