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213540392 = 231319532039
BaseRepresentation
bin11001011101001…
…01111000101000
3112212210222100102
430232211320220
5414131243032
633104524532
75202030512
oct1456457050
9485728312
10213540392
11aa5a106a
125b620748
1335318480
1420508bb2
1513b31362
hexcba5e28

213540392 has 64 divisors (see below), whose sum is σ = 462672000. Its totient is φ = 91563264.

The previous prime is 213540367. The next prime is 213540401. The reversal of 213540392 is 293045312.

213540392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103709 + ... + 105747.

It is an arithmetic number, because the mean of its divisors is an integer number (7229250).

Almost surely, 2213540392 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 213540392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231336000).

213540392 is an abundant number, since it is smaller than the sum of its proper divisors (249131608).

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

213540392 is a wasteful number, since it uses less digits than its factorization.

213540392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 213540392 is about 14613.0213166203. The cubic root of 213540392 is about 597.7138857173.

The spelling of 213540392 in words is "two hundred thirteen million, five hundred forty thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 19 26 38 52 53 76 104 106 152 212 247 424 494 689 988 1007 1378 1976 2014 2039 2756 4028 4078 5512 8056 8156 13091 16312 26182 26507 38741 52364 53014 77482 104728 106028 108067 154964 212056 216134 309928 432268 503633 864536 1007266 1404871 2014532 2053273 2809742 4029064 4106546 5619484 8213092 11238968 16426184 26692549 53385098 106770196 213540392