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138971712 = 26311292269
BaseRepresentation
bin10000100100010…
…00101001000000
3100200111111100110
420102020221000
5241034043322
621442351320
73305145225
oct1022105100
9320444313
10138971712
117149a560
123a65b540
1322a3a2a9
141465794c
15c301c0c
hex8488a40

138971712 has 112 divisors (see below), whose sum is σ = 415137600. Its totient is φ = 40642560.

The previous prime is 138971711. The next prime is 138971713. The reversal of 138971712 is 217179831.

It is an interprime number because it is at equal distance from previous prime (138971711) and next prime (138971713).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138971711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60114 + ... + 62382.

Almost surely, 2138971712 is an apocalyptic number.

138971712 is a gapful number since it is divisible by the number (12) 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 138971712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207568800).

138971712 is an abundant number, since it is smaller than the sum of its proper divisors (276165888).

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

138971712 is a wasteful number, since it uses less digits than its factorization.

138971712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2314 counting only the distinct ones).

The product of its digits is 21168, while the sum is 39.

The square root of 138971712 is about 11788.6263830864. The cubic root of 138971712 is about 517.9750041357.

The spelling of 138971712 in words is "one hundred thirty-eight million, nine hundred seventy-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 132 174 176 192 232 264 319 348 352 464 528 638 696 704 928 957 1056 1276 1392 1856 1914 2112 2269 2552 2784 3828 4538 5104 5568 6807 7656 9076 10208 13614 15312 18152 20416 24959 27228 30624 36304 49918 54456 61248 65801 72608 74877 99836 108912 131602 145216 149754 197403 199672 217824 263204 299508 394806 399344 435648 526408 599016 723811 789612 798688 1052816 1198032 1447622 1579224 1597376 2105632 2171433 2396064 2895244 3158448 4211264 4342866 4792128 5790488 6316896 8685732 11580976 12633792 17371464 23161952 34742928 46323904 69485856 138971712