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40135100 = 22522711481
BaseRepresentation
bin1001100100011…
…0100110111100
32210112002000012
42121012212330
540233310400
63552122352
7665066645
oct231064674
983462005
1040135100
1120723105
12115363b8
1384131a5
14548a6cc
1537cbd35
hex26469bc

40135100 has 36 divisors (see below), whose sum is σ = 87473568. Its totient is φ = 15984000.

The previous prime is 40135099. The next prime is 40135141. The reversal of 40135100 is 153104.

40135100 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 2×401351002 = 3221652504020000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26360 + ... + 27840.

Almost surely, 240135100 is an apocalyptic number.

It is an amenable number.

40135100 is an abundant number, since it is smaller than the sum of its proper divisors (47338468).

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

40135100 is a wasteful number, since it uses less digits than its factorization.

40135100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 40135100 is about 6335.2269099062. The cubic root of 40135100 is about 342.3797862517.

Adding to 40135100 its reverse (153104), we get a palindrome (40288204).

The spelling of 40135100 in words is "forty million, one hundred thirty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 271 542 1084 1355 1481 2710 2962 5420 5924 6775 7405 13550 14810 27100 29620 37025 74050 148100 401351 802702 1605404 2006755 4013510 8027020 10033775 20067550 40135100