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40130937 = 3371197199
BaseRepresentation
bin1001100100010…
…1100101111001
32210111212022000
42121011211321
540233142222
63552051213
7665051550
oct231054571
983455260
1040130937
112071aa70
1211533b09
138411322
145488d97
1537ca9ac
hex2645979

40130937 has 64 divisors (see below), whose sum is σ = 75264000. Its totient is φ = 20528640.

The previous prime is 40130917. The next prime is 40130939. The reversal of 40130937 is 73903104.

40130937 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40130937 - 210 = 40129913 is a prime.

It is a super-2 number, since 2×401309372 = 3220984208995938, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 40130937.

It is not an unprimeable number, because it can be changed into a prime (40130939) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 201564 + ... + 201762.

It is an arithmetic number, because the mean of its divisors is an integer number (1176000).

Almost surely, 240130937 is an apocalyptic number.

It is an amenable number.

40130937 is a deficient number, since it is larger than the sum of its proper divisors (35133063).

40130937 is a wasteful number, since it uses less digits than its factorization.

40130937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 40130937 is about 6334.8983417258. The cubic root of 40130937 is about 342.3679480990.

The spelling of 40130937 in words is "forty million, one hundred thirty thousand, nine hundred thirty-seven".

Divisors: 1 3 7 9 11 21 27 33 63 77 97 99 189 199 231 291 297 597 679 693 873 1067 1393 1791 2037 2079 2189 2619 3201 4179 5373 6111 6567 7469 9603 12537 15323 18333 19303 19701 22407 28809 37611 45969 57909 59103 67221 135121 137907 173727 201663 212333 405363 413721 521181 636999 1216089 1486331 1910997 3648267 4458993 5732991 13376979 40130937