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40132620 = 223251120269
BaseRepresentation
bin1001100100011…
…0000000001100
32210111221121100
42121012000030
540233220440
63552103100
7665056503
oct231060014
983457540
1040132620
1120721260
1211534a90
138412018
14548983a
1537cb230
hex264600c

40132620 has 72 divisors (see below), whose sum is σ = 132809040. Its totient is φ = 9728640.

The previous prime is 40132577. The next prime is 40132621. The reversal of 40132620 is 2623104.

It is a happy number.

40132620 is a `hidden beast` number, since 40 + 1 + 3 + 2 + 620 = 666.

It is a super-2 number, since 2×401326202 = 3221254376128800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40132593 and 40132602.

It is not an unprimeable number, because it can be changed into a prime (40132621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8155 + ... + 12114.

It is an arithmetic number, because the mean of its divisors is an integer number (1844570).

Almost surely, 240132620 is an apocalyptic number.

It is an amenable number.

40132620 is an abundant number, since it is smaller than the sum of its proper divisors (92676420).

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

40132620 is a wasteful number, since it uses less digits than its factorization.

40132620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20295 (or 20290 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40132620 is about 6335.0311759296. The cubic root of 40132620 is about 342.3727340758.

Adding to 40132620 its reverse (2623104), we get a palindrome (42755724).

The spelling of 40132620 in words is "forty million, one hundred thirty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 20269 40538 60807 81076 101345 121614 182421 202690 222959 243228 304035 364842 405380 445918 608070 668877 729684 891836 912105 1114795 1216140 1337754 1824210 2006631 2229590 2675508 3344385 3648420 4013262 4459180 6688770 8026524 10033155 13377540 20066310 40132620