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138244470 = 23571379641
BaseRepresentation
bin10000011110101…
…11000101110110
3100122010112202120
420033113011312
5240342310340
621415020410
73266026050
oct1017270566
9318115676
10138244470
1171043131
123a36a706
1322844280
14145088d0
15c20b4d0
hex83d7176

138244470 has 128 divisors (see below), whose sum is σ = 414167040. Its totient is φ = 28753920.

The previous prime is 138244451. The next prime is 138244471. The reversal of 138244470 is 74442831.

138244470 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1382444702 = 38223066971161800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138244471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 215350 + ... + 215990.

It is an arithmetic number, because the mean of its divisors is an integer number (3235680).

Almost surely, 2138244470 is an apocalyptic number.

138244470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138244470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207083520).

138244470 is an abundant number, since it is smaller than the sum of its proper divisors (275922570).

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

138244470 is a wasteful number, since it uses less digits than its factorization.

138244470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750.

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 138244470 is about 11757.7408544329. The cubic root of 138244470 is about 517.0698986512.

The spelling of 138244470 in words is "one hundred thirty-eight million, two hundred forty-four thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 79 91 105 130 158 182 195 210 237 273 390 395 455 474 546 553 641 790 910 1027 1106 1185 1282 1365 1659 1923 2054 2370 2730 2765 3081 3205 3318 3846 4487 5135 5530 6162 6410 7189 8295 8333 8974 9615 10270 13461 14378 15405 16590 16666 19230 21567 22435 24999 26922 30810 35945 41665 43134 44870 49998 50639 58331 67305 71890 83330 101278 107835 116662 124995 134610 151917 174993 215670 249990 253195 291655 303834 349986 354473 506390 583310 658307 708946 759585 874965 1063419 1316614 1519170 1749930 1772365 1974921 2126838 3291535 3544730 3949842 4608149 5317095 6583070 9216298 9874605 10634190 13824447 19749210 23040745 27648894 46081490 69122235 138244470