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40131136 = 2623137199
BaseRepresentation
bin1001100100010…
…1101001000000
32210111212120101
42121011221000
540233144021
63552052144
7665052253
oct231055100
983455511
1040131136
1120720131
1211534054
138411446
14548909a
1537caa91
hex2645a40

40131136 has 56 divisors (see below), whose sum is σ = 84124800. Its totient is φ = 18957312.

The previous prime is 40131121. The next prime is 40131137. The reversal of 40131136 is 63113104.

It is a super-2 number, since 2×401311362 = 3221016153300992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40131137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201565 + ... + 201763.

Almost surely, 240131136 is an apocalyptic number.

40131136 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40131136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42062400).

40131136 is an abundant number, since it is smaller than the sum of its proper divisors (43993664).

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

40131136 is a wasteful number, since it uses less digits than its factorization.

40131136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 40131136 is about 6334.9140483514. The cubic root of 40131136 is about 342.3685140058.

The spelling of 40131136 in words is "forty million, one hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 137 184 199 274 368 398 548 736 796 1096 1472 1592 2192 3151 3184 4384 4577 6302 6368 8768 9154 12604 12736 18308 25208 27263 36616 50416 54526 73232 100832 109052 146464 201664 218104 292928 436208 627049 872416 1254098 1744832 2508196 5016392 10032784 20065568 40131136