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40163040 = 253551033
BaseRepresentation
bin1001100100110…
…1011011100000
32210120111100000
42121031123200
540240204130
63552500000
7665244261
oct231153340
983514300
1040163040
11207420a5
121154a600
138422b18
145496968
1537d5260
hex264d6e0

40163040 has 144 divisors (see below), whose sum is σ = 142270128. Its totient is φ = 10699776.

The previous prime is 40163023. The next prime is 40163059. The reversal of 40163040 is 4036104.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×401630402 = 3226139564083200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38364 + ... + 39396.

It is an arithmetic number, because the mean of its divisors is an integer number (987987).

Almost surely, 240163040 is an apocalyptic number.

40163040 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 40163040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71135064).

40163040 is an abundant number, since it is smaller than the sum of its proper divisors (102107088).

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

40163040 is a wasteful number, since it uses less digits than its factorization.

40163040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40163040 is about 6337.4316564362. The cubic root of 40163040 is about 342.4592169103.

Adding to 40163040 its reverse (4036104), we get a palindrome (44199144).

It can be divided in two parts, 4016 and 3040, that added together give a square (7056 = 842).

The spelling of 40163040 in words is "forty million, one hundred sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1033 1080 1215 1296 1440 1620 1944 2066 2160 2430 2592 3099 3240 3888 4132 4320 4860 5165 6198 6480 7776 8264 9297 9720 10330 12396 12960 15495 16528 18594 19440 20660 24792 27891 30990 33056 37188 38880 41320 46485 49584 55782 61980 74376 82640 83673 92970 99168 111564 123960 139455 148752 165280 167346 185940 223128 247920 251019 278910 297504 334692 371880 418365 446256 495840 502038 557820 669384 743760 836730 892512 1004076 1115640 1255095 1338768 1487520 1673460 2008152 2231280 2510190 2677536 3346920 4016304 4462560 5020380 6693840 8032608 10040760 13387680 20081520 40163040