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40505130 = 2335413659
BaseRepresentation
bin1001101010000…
…0111100101010
32211012212121000
42122200330222
540332131010
64004055430
71001200521
oct232407452
984185530
1040505130
1120956116
1211694576
138512743
1455454b8
1538517c0
hex26a0f2a

40505130 has 64 divisors (see below), whose sum is σ = 110678400. Its totient is φ = 10535040.

The previous prime is 40505123. The next prime is 40505137. The reversal of 40505130 is 3150504.

It is an interprime number because it is at equal distance from previous prime (40505123) and next prime (40505137).

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40505137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9241 + ... + 12899.

It is an arithmetic number, because the mean of its divisors is an integer number (1729350).

Almost surely, 240505130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40505130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55339200).

40505130 is an abundant number, since it is smaller than the sum of its proper divisors (70173270).

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

40505130 is a wasteful number, since it uses less digits than its factorization.

40505130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3716 (or 3710 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 40505130 is about 6364.3640687817. The cubic root of 40505130 is about 343.4287718676.

Adding to 40505130 its reverse (3150504), we get a palindrome (43655634).

It can be divided in two parts, 4050 and 5130, that added together give a triangular number (9180 = T135).

The spelling of 40505130 in words is "forty million, five hundred five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 246 270 369 410 615 738 1107 1230 1845 2214 3659 3690 5535 7318 10977 11070 18295 21954 32931 36590 54885 65862 98793 109770 150019 164655 197586 300038 329310 450057 493965 750095 900114 987930 1350171 1500190 2250285 2700342 4050513 4500570 6750855 8101026 13501710 20252565 40505130