Search a number
-
+
138080320 = 265761643
BaseRepresentation
bin10000011101011…
…11000001000000
3100121211012120221
420032233001000
5240322032240
621411312424
73264443350
oct1016570100
9317735527
10138080320
1170a40874
123a2ab714
13227b7641
14144a4b60
15c1c7a4a
hex83af040

138080320 has 56 divisors (see below), whose sum is σ = 375781824. Its totient is φ = 47341056.

The previous prime is 138080297. The next prime is 138080321. The reversal of 138080320 is 23080831.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (138080321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28582 + ... + 33061.

Almost surely, 2138080320 is an apocalyptic number.

138080320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138080320 is an abundant number, since it is smaller than the sum of its proper divisors (237701504).

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

138080320 is an equidigital number, since it uses as much as digits as its factorization.

138080320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61667 (or 61657 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 138080320 is about 11750.7582734052. The cubic root of 138080320 is about 516.8651631801.

The spelling of 138080320 in words is "one hundred thirty-eight million, eighty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 61643 123286 246572 308215 431501 493144 616430 863002 986288 1232860 1726004 1972576 2157505 2465720 3452008 3945152 4315010 4931440 6904016 8630020 9862880 13808032 17260040 19725760 27616064 34520080 69040160 138080320