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138705060 = 223513213679
BaseRepresentation
bin10000100010001…
…11100010100100
3100122222221120110
420101013202210
5241002030220
621432533020
73302654634
oct1021074244
9318887513
10138705060
117132818a
123a551170
1322975b00
14145c86c4
15c29cbe0
hex84478a4

138705060 has 72 divisors (see below), whose sum is σ = 420577920. Its totient is φ = 34140288.

The previous prime is 138705059. The next prime is 138705089. The reversal of 138705060 is 60507831.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3301 + ... + 16979.

It is an arithmetic number, because the mean of its divisors is an integer number (5841360).

Almost surely, 2138705060 is an apocalyptic number.

138705060 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 138705060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210288960).

138705060 is an abundant number, since it is smaller than the sum of its proper divisors (281872860).

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

138705060 is a wasteful number, since it uses less digits than its factorization.

138705060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13717 (or 13702 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 138705060 is about 11777.3112381392. The cubic root of 138705060 is about 517.6435038090.

The spelling of 138705060 in words is "one hundred thirty-eight million, seven hundred five thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 3380 5070 10140 13679 27358 41037 54716 68395 82074 136790 164148 177827 205185 273580 355654 410370 533481 711308 820740 889135 1066962 1778270 2133924 2311751 2667405 3556540 4623502 5334810 6935253 9247004 10669620 11558755 13870506 23117510 27741012 34676265 46235020 69352530 138705060