Search a number
-
+
213330138 = 23719436217
BaseRepresentation
bin11001011011100…
…10100011011010
3112212102021221020
430231302203122
5414103031023
633100223310
75200163520
oct1455624332
9485367836
10213330138
11aa4680aa
125b53ab36
1335273868
1420492310
1513addde3
hexcb728da

213330138 has 64 divisors (see below), whose sum is σ = 525296640. Its totient is φ = 56391552.

The previous prime is 213330109. The next prime is 213330149. The reversal of 213330138 is 831033312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31206 + ... + 37422.

It is an arithmetic number, because the mean of its divisors is an integer number (8207760).

Almost surely, 2213330138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213330138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262648320).

213330138 is an abundant number, since it is smaller than the sum of its proper divisors (311966502).

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

213330138 is a wasteful number, since it uses less digits than its factorization.

213330138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6291.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 213330138 is about 14605.8254816357. The cubic root of 213330138 is about 597.5176496132.

The spelling of 213330138 in words is "two hundred thirteen million, three hundred thirty thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 19 21 38 42 43 57 86 114 129 133 258 266 301 399 602 798 817 903 1634 1806 2451 4902 5719 6217 11438 12434 17157 18651 34314 37302 43519 87038 118123 130557 236246 261114 267331 354369 534662 708738 801993 826861 1603986 1653722 1871317 2480583 3742634 4961166 5079289 5613951 10158578 11227902 15237867 30475734 35555023 71110046 106665069 213330138