Search a number
-
+
213027690 = 23571103971
BaseRepresentation
bin11001011001010…
…00101101101010
3112211211221001110
430230220231222
5414013341230
633045531150
75164463661
oct1454505552
9484757043
10213027690
11aa280947
125b413ab6
1335198cb5
1420413dd8
1513a7e4b0
hexcb28b6a

213027690 has 64 divisors (see below), whose sum is σ = 524040192. Its totient is φ = 55406400.

The previous prime is 213027673. The next prime is 213027743. The reversal of 213027690 is 96720312.

213027690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2130276902 = 90761593413472200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 218905 + ... + 219875.

It is an arithmetic number, because the mean of its divisors is an integer number (8188128).

Almost surely, 2213027690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213027690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262020096).

213027690 is an abundant number, since it is smaller than the sum of its proper divisors (311012502).

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

213027690 is a wasteful number, since it uses less digits than its factorization.

213027690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 213027690 is about 14595.4681322663. The cubic root of 213027690 is about 597.2351399293.

The spelling of 213027690 in words is "two hundred thirteen million, twenty-seven thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 71 103 142 206 213 309 355 426 515 618 710 971 1030 1065 1545 1942 2130 2913 3090 4855 5826 7313 9710 14565 14626 21939 29130 36565 43878 68941 73130 100013 109695 137882 200026 206823 219390 300039 344705 413646 500065 600078 689410 1000130 1034115 1500195 2068230 3000390 7100923 14201846 21302769 35504615 42605538 71009230 106513845 213027690