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40140632 = 23747101151
BaseRepresentation
bin1001100100011…
…1111101011000
32210112100121002
42121013331120
540234000012
63552204132
7665122040
oct231077530
983470532
1040140632
1120727284
1211539648
13841586c
14548c720
1537cd7c2
hex2647f58

40140632 has 64 divisors (see below), whose sum is σ = 89303040. Its totient is φ = 16560000.

The previous prime is 40140601. The next prime is 40140641. The reversal of 40140632 is 23604104.

It is a happy number.

It is a super-2 number, since 2×401406322 = 3222540674718848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265757 + ... + 265907.

It is an arithmetic number, because the mean of its divisors is an integer number (1395360).

Almost surely, 240140632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40140632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44651520).

40140632 is an abundant number, since it is smaller than the sum of its proper divisors (49162408).

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

40140632 is a wasteful number, since it uses less digits than its factorization.

40140632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 40140632 is about 6335.6635011654. The cubic root of 40140632 is about 342.3955161072.

Adding to 40140632 its reverse (23604104), we get a palindrome (63744736).

The spelling of 40140632 in words is "forty million, one hundred forty thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 47 56 94 101 151 188 202 302 329 376 404 604 658 707 808 1057 1208 1316 1414 2114 2632 2828 4228 4747 5656 7097 8456 9494 14194 15251 18988 28388 30502 33229 37976 49679 56776 61004 66458 99358 106757 122008 132916 198716 213514 265832 397432 427028 716797 854056 1433594 2867188 5017579 5734376 10035158 20070316 40140632