Search a number
-
+
138726064 = 2423479787
BaseRepresentation
bin10000100010011…
…00101010110000
3100200001000101101
420101030222300
5241003213224
621433214144
73303103111
oct1021145260
9320030341
10138726064
1171341a44
123a561354
1322982539
14145d2208
15c2a4044
hex844cab0

138726064 has 40 divisors (see below), whose sum is σ = 281410560. Its totient is φ = 66124608.

The previous prime is 138726043. The next prime is 138726067. The reversal of 138726064 is 460627831.

It is not an unprimeable number, because it can be changed into a prime (138726067) 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, 175879 + ... + 176665.

It is an arithmetic number, because the mean of its divisors is an integer number (7035264).

Almost surely, 2138726064 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 138726064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140705280).

138726064 is an abundant number, since it is smaller than the sum of its proper divisors (142684496).

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

138726064 is a wasteful number, since it uses less digits than its factorization.

138726064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 138726064 is about 11778.2029189516. The cubic root of 138726064 is about 517.6696312755.

The spelling of 138726064 in words is "one hundred thirty-eight million, seven hundred twenty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 479 787 958 1574 1916 3148 3832 6296 7664 11017 12592 18101 22034 36202 44068 72404 88136 144808 176272 289616 376973 753946 1507892 3015784 6031568 8670379 17340758 34681516 69363032 138726064