Search a number
-
+
72104274 = 23211536871
BaseRepresentation
bin1000100110000…
…11100101010010
312000200021110200
410103003211102
5121424314044
611053240030
71533606354
oct423034522
9160607420
1072104274
1137779010
1220193016
1311c27568
14980d0d4
1564e4369
hex44c3952

72104274 has 48 divisors (see below), whose sum is σ = 173669184. Its totient is φ = 21434400.

The previous prime is 72104273. The next prime is 72104299. The reversal of 72104274 is 47240127.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72104273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7059 + ... + 13929.

It is an arithmetic number, because the mean of its divisors is an integer number (3618108).

Almost surely, 272104274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72104274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86834592).

72104274 is an abundant number, since it is smaller than the sum of its proper divisors (101564910).

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

72104274 is a wasteful number, since it uses less digits than its factorization.

72104274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6943 (or 6940 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 72104274 is about 8491.4235555648. The cubic root of 72104274 is about 416.2174998297.

The spelling of 72104274 in words is "seventy-two million, one hundred four thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 198 318 477 583 954 1166 1749 3498 5247 6871 10494 13742 20613 41226 61839 75581 123678 151162 226743 364163 453486 680229 728326 1092489 1360458 2184978 3277467 4005793 6554934 8011586 12017379 24034758 36052137 72104274