Search a number
-
+
138122484 = 223173121841
BaseRepresentation
bin10000011101110…
…01010011110100
3100121220100102120
420032321103310
5240324404414
621412235540
73265010313
oct1016712364
9317810376
10138122484
1170a6a515
123a30bbb0
13228008a6
14144b627a
15c1d52a9
hex83b94f4

138122484 has 48 divisors (see below), whose sum is σ = 352267776. Its totient is φ = 41932800.

The previous prime is 138122473. The next prime is 138122489. The reversal of 138122484 is 484221831.

138122484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138122489) 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, 4597 + ... + 17244.

It is an arithmetic number, because the mean of its divisors is an integer number (7338912).

Almost surely, 2138122484 is an apocalyptic number.

It is an amenable number.

138122484 is an abundant number, since it is smaller than the sum of its proper divisors (214145292).

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

138122484 is a wasteful number, since it uses less digits than its factorization.

138122484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21896 (or 21894 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 138122484 is about 11752.5522334513. The cubic root of 138122484 is about 516.9177675505.

The spelling of 138122484 in words is "one hundred thirty-eight million, one hundred twenty-two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 372 527 1054 1581 2108 3162 6324 21841 43682 65523 87364 131046 262092 371297 677071 742594 1113891 1354142 1485188 2031213 2227782 2708284 4062426 4455564 8124852 11510207 23020414 34530621 46040828 69061242 138122484