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40135104 = 2632591181
BaseRepresentation
bin1001100100011…
…0100111000000
32210112002000100
42121012213000
540233310404
63552122400
7665066652
oct231064700
983462010
1040135104
1120723109
1211536400
1384131a9
14548a6d2
1537cbd39
hex26469c0

40135104 has 84 divisors (see below), whose sum is σ = 117088920. Its totient is φ = 13140480.

The previous prime is 40135099. The next prime is 40135141. The reversal of 40135104 is 40153104.

It is a happy number.

It is a super-2 number, since 2×401351042 = 3221653146181632, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33394 + ... + 34574.

Almost surely, 240135104 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 40135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58544460).

40135104 is an abundant number, since it is smaller than the sum of its proper divisors (76953816).

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

40135104 is a wasteful number, since it uses less digits than its factorization.

40135104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 40135104 is about 6335.2272256013. The cubic root of 40135104 is about 342.3797976260.

Adding to 40135104 its reverse (40153104), we get a palindrome (80288208).

The spelling of 40135104 in words is "forty million, one hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 144 177 192 236 288 354 472 531 576 708 944 1062 1181 1416 1888 2124 2362 2832 3543 3776 4248 4724 5664 7086 8496 9448 10629 11328 14172 16992 18896 21258 28344 33984 37792 42516 56688 69679 75584 85032 113376 139358 170064 209037 226752 278716 340128 418074 557432 627111 680256 836148 1114864 1254222 1672296 2229728 2508444 3344592 4459456 5016888 6689184 10033776 13378368 20067552 40135104