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43131040 = 25517101157
BaseRepresentation
bin1010010010001…
…0000010100000
310000011021122221
42210202002200
542020143130
64140240424
71032415321
oct244420240
9100137587
1043131040
1122389a97
1212540114
138c21a34
145a2a448
153bbe87a
hex29220a0

43131040 has 96 divisors (see below), whose sum is σ = 109653264. Its totient is φ = 15974400.

The previous prime is 43131037. The next prime is 43131041. The reversal of 43131040 is 4013134.

It can be written as a sum of positive squares in 8 ways, for example, as 32398864 + 10732176 = 5692^2 + 3276^2 .

It is a super-2 number, since 2×431310402 = 3720573222963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (43131041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274642 + ... + 274798.

Almost surely, 243131040 is an apocalyptic number.

43131040 is a gapful number since it is divisible by the number (40) 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 43131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54826632).

43131040 is an abundant number, since it is smaller than the sum of its proper divisors (66522224).

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

43131040 is a wasteful number, since it uses less digits than its factorization.

43131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 43131040 is about 6567.4226299211. The cubic root of 43131040 is about 350.6953252050.

Adding to 43131040 its reverse (4013134), we get a palindrome (47144174).

The spelling of 43131040 in words is "forty-three million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 101 136 157 160 170 202 272 314 340 404 505 544 628 680 785 808 1010 1256 1360 1570 1616 1717 2020 2512 2669 2720 3140 3232 3434 4040 5024 5338 6280 6868 8080 8585 10676 12560 13345 13736 15857 16160 17170 21352 25120 26690 27472 31714 34340 42704 53380 54944 63428 68680 79285 85408 106760 126856 137360 158570 213520 253712 269569 274720 317140 427040 507424 539138 634280 1078276 1268560 1347845 2156552 2537120 2695690 4313104 5391380 8626208 10782760 21565520 43131040