[go: up one dir, main page]

Search a number
-
+
73131630 = 235111317047
BaseRepresentation
bin1000101101111…
…10011001101110
312002121110201220
410112332121232
5122210203010
611131244210
71545415515
oct426763156
9162543656
1073131630
113830a970
12205a9666
13121c7070
1499d967c
156648970
hex45be66e

73131630 has 64 divisors (see below), whose sum is σ = 206212608. Its totient is φ = 16364160.

The previous prime is 73131623. The next prime is 73131631. The reversal of 73131630 is 3613137.

73131630 = 1382 + 1392 + ... + 6052.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 73131630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73131631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4234 + ... + 12813.

It is an arithmetic number, because the mean of its divisors is an integer number (3222072).

Almost surely, 273131630 is an apocalyptic number.

73131630 is an abundant number, since it is smaller than the sum of its proper divisors (133080978).

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

73131630 is a wasteful number, since it uses less digits than its factorization.

73131630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17081.

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 73131630 is about 8551.7033391015. The cubic root of 73131630 is about 418.1849680836.

Adding to 73131630 its reverse (3613137), we get a palindrome (76744767).

The spelling of 73131630 in words is "seventy-three million, one hundred thirty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 715 858 1430 2145 4290 17047 34094 51141 85235 102282 170470 187517 221611 255705 375034 443222 511410 562551 664833 937585 1108055 1125102 1329666 1875170 2216110 2437721 2812755 3324165 4875442 5625510 6648330 7313163 12188605 14626326 24377210 36565815 73131630