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40231440 = 2432571787
BaseRepresentation
bin1001100101111…
…0001000010000
32210200222011100
42121132020100
540244401230
63554144400
7665650554
oct231361020
983628140
1040231440
1120789527
1211582100
138447cb2
1454b3864
1537ea660
hex265e210

40231440 has 120 divisors (see below), whose sum is σ = 137187648. Its totient is φ = 10563840.

The previous prime is 40231427. The next prime is 40231447. The reversal of 40231440 is 4413204.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40231447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50727 + ... + 51513.

Almost surely, 240231440 is an apocalyptic number.

40231440 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 40231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68593824).

40231440 is an abundant number, since it is smaller than the sum of its proper divisors (96956208).

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

40231440 is a wasteful number, since it uses less digits than its factorization.

40231440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40231440 is about 6342.8258686488. The cubic root of 40231440 is about 342.6535159923.

Adding to 40231440 its reverse (4413204), we get a palindrome (44644644).

The spelling of 40231440 in words is "forty million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 71 72 80 90 120 142 144 180 213 240 284 355 360 426 568 639 710 720 787 852 1065 1136 1278 1420 1574 1704 2130 2361 2556 2840 3148 3195 3408 3935 4260 4722 5112 5680 6296 6390 7083 7870 8520 9444 10224 11805 12592 12780 14166 15740 17040 18888 23610 25560 28332 31480 35415 37776 47220 51120 55877 56664 62960 70830 94440 111754 113328 141660 167631 188880 223508 279385 283320 335262 447016 502893 558770 566640 670524 838155 894032 1005786 1117540 1341048 1676310 2011572 2235080 2514465 2682096 3352620 4023144 4470160 5028930 6705240 8046288 10057860 13410480 20115720 40231440