Search a number
-
+
213527130 = 235191013709
BaseRepresentation
bin11001011101000…
…10101001011010
3112212210022011020
430232202221122
5414130332010
633104343310
75201644035
oct1456425132
9485708136
10213527130
11aa592103
125b614b36
133531241b
142050401c
1513b2c470
hexcba2a5a

213527130 has 64 divisors (see below), whose sum is σ = 544924800. Its totient is φ = 53395200.

The previous prime is 213527129. The next prime is 213527189. The reversal of 213527130 is 31725312.

213527130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 213527130.

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, 55716 + ... + 59424.

It is an arithmetic number, because the mean of its divisors is an integer number (8514450).

Almost surely, 2213527130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213527130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272462400).

213527130 is an abundant number, since it is smaller than the sum of its proper divisors (331397670).

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

213527130 is a wasteful number, since it uses less digits than its factorization.

213527130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 213527130 is about 14612.5675361998. The cubic root of 213527130 is about 597.7015117185.

It can be divided in two parts, 21352 and 7130, that added together give a palindrome (28482).

The spelling of 213527130 in words is "two hundred thirteen million, five hundred twenty-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 101 114 190 202 285 303 505 570 606 1010 1515 1919 3030 3709 3838 5757 7418 9595 11127 11514 18545 19190 22254 28785 37090 55635 57570 70471 111270 140942 211413 352355 374609 422826 704710 749218 1057065 1123827 1873045 2114130 2247654 3746090 5619135 7117571 11238270 14235142 21352713 35587855 42705426 71175710 106763565 213527130