Search a number
-
+
213061695 = 35711296361
BaseRepresentation
bin11001011001100…
…01000000111111
3112211220122200220
430230301000333
5414020433240
633050352423
75164665060
oct1454610077
9484818626
10213061695
11aa2a4450
125b42b713
13351ab612
1420422567
1513a895d0
hexcb3103f

213061695 has 64 divisors (see below), whose sum is σ = 439741440. Its totient is φ = 85478400.

The previous prime is 213061679. The next prime is 213061711. The reversal of 213061695 is 596160312.

It is a happy number.

213061695 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213061679) and next prime (213061711).

It is not a de Polignac number, because 213061695 - 24 = 213061679 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30315 + ... + 36675.

It is an arithmetic number, because the mean of its divisors is an integer number (6870960).

Almost surely, 2213061695 is an apocalyptic number.

213061695 is an abundant number, since it is smaller than the sum of its proper divisors (226679745).

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

213061695 is a wasteful number, since it uses less digits than its factorization.

213061695 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6416.

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 213061695 is about 14596.6330021687. The cubic root of 213061695 is about 597.2669165502.

The spelling of 213061695 in words is "two hundred thirteen million, sixty-one thousand, six hundred ninety-five".

Divisors: 1 3 5 7 11 15 21 29 33 35 55 77 87 105 145 165 203 231 319 385 435 609 957 1015 1155 1595 2233 3045 4785 6361 6699 11165 19083 31805 33495 44527 69971 95415 133581 184469 209913 222635 349855 489797 553407 667905 922345 1049565 1291283 1469391 2029159 2448985 2767035 3873849 6087477 6456415 7346955 10145795 14204113 19369245 30437385 42612339 71020565 213061695