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138055280 = 24511592659
BaseRepresentation
bin10000011101010…
…00111001110000
3100121202221020112
420032220321300
5240320232110
621411000452
73264310346
oct1016507160
9317687215
10138055280
1170a23a80
123a299128
13227a911c
1414499996
15c1c0405
hex83a8e70

138055280 has 80 divisors (see below), whose sum is σ = 356227200. Its totient is φ = 49332480.

The previous prime is 138055279. The next prime is 138055289. The reversal of 138055280 is 82550831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138055289) 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, 50591 + ... + 53249.

It is an arithmetic number, because the mean of its divisors is an integer number (4452840).

Almost surely, 2138055280 is an apocalyptic number.

138055280 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 138055280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178113600).

138055280 is an abundant number, since it is smaller than the sum of its proper divisors (218171920).

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

138055280 is a wasteful number, since it uses less digits than its factorization.

138055280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 138055280 is about 11749.6927619406. The cubic root of 138055280 is about 516.8339178728.

The spelling of 138055280 in words is "one hundred thirty-eight million, fifty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 59 80 88 110 118 176 220 236 295 440 472 590 649 880 944 1180 1298 2360 2596 2659 3245 4720 5192 5318 6490 10384 10636 12980 13295 21272 25960 26590 29249 42544 51920 53180 58498 106360 116996 146245 156881 212720 233992 292490 313762 467984 584980 627524 784405 1169960 1255048 1568810 1725691 2339920 2510096 3137620 3451382 6275240 6902764 8628455 12550480 13805528 17256910 27611056 34513820 69027640 138055280