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40130940 = 22353718077
BaseRepresentation
bin1001100100010…
…1100101111100
32210111212022010
42121011211330
540233142230
63552051220
7665051553
oct231054574
983455263
1040130940
112071aa73
1211533b10
138411325
145488d9a
1537ca9b0
hex264597c

40130940 has 48 divisors (see below), whose sum is σ = 115409952. Its totient is φ = 10411776.

The previous prime is 40130939. The next prime is 40130941. The reversal of 40130940 is 4903104.

40130940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40130939) and next prime (40130941).

It is a super-2 number, since 2×401309402 = 3220984690567200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40130941) 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 15 ways as a sum of consecutive naturals, for example, 6819 + ... + 11258.

It is an arithmetic number, because the mean of its divisors is an integer number (2404374).

Almost surely, 240130940 is an apocalyptic number.

It is an amenable number.

40130940 is an abundant number, since it is smaller than the sum of its proper divisors (75279012).

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

40130940 is a wasteful number, since it uses less digits than its factorization.

40130940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18126 (or 18124 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 40130940 is about 6334.8985785094. The cubic root of 40130940 is about 342.3679566303.

The spelling of 40130940 in words is "forty million, one hundred thirty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 18077 36154 54231 72308 90385 108462 180770 216924 271155 361540 542310 668849 1084620 1337698 2006547 2675396 3344245 4013094 6688490 8026188 10032735 13376980 20065470 40130940