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40271400 = 233252131721
BaseRepresentation
bin1001100110011…
…1111000101000
32210202222222100
42121213320220
540302141100
63555053400
7666205221
oct231477050
983688870
1040271400
1120806554
12115a1260
138460240
1454c4248
153807400
hex2667e28

40271400 has 144 divisors (see below), whose sum is σ = 145732860. Its totient is φ = 9907200.

The previous prime is 40271381. The next prime is 40271411. The reversal of 40271400 is 417204.

It is a happy number.

40271400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 11819844 + 28451556 = 3438^2 + 5334^2 .

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 22540 + ... + 24260.

Almost surely, 240271400 is an apocalyptic number.

40271400 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 40271400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72866430).

40271400 is an abundant number, since it is smaller than the sum of its proper divisors (105461460).

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

40271400 is a wasteful number, since it uses less digits than its factorization.

40271400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 40271400 is about 6345.9751023779. The cubic root of 40271400 is about 342.7669256677.

Adding to 40271400 its reverse (417204), we get a palindrome (40688604).

The spelling of 40271400 in words is "forty million, two hundred seventy-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1721 1800 1950 2340 2600 2925 3442 3900 4680 5163 5850 6884 7800 8605 10326 11700 13768 15489 17210 20652 22373 23400 25815 30978 34420 41304 43025 44746 51630 61956 67119 68840 77445 86050 89492 103260 111865 123912 129075 134238 154890 172100 178984 201357 206520 223730 258150 268476 309780 335595 344200 387225 402714 447460 516300 536952 559325 619560 671190 774450 805428 894920 1006785 1032600 1118650 1342380 1548900 1610856 1677975 2013570 2237300 2684760 3097800 3355950 4027140 4474600 5033925 6711900 8054280 10067850 13423800 20135700 40271400