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40014040 = 23511211431
BaseRepresentation
bin1001100010100…
…1000011011000
32210021220221111
42120221003120
540220422130
63545350104
7664054003
oct230510330
983256844
1040014040
1120650160
1211498334
1383a0061
14545853a
1537a602a
hex26290d8

40014040 has 64 divisors (see below), whose sum is σ = 98910720. Its totient is φ = 14448000.

The previous prime is 40013999. The next prime is 40014059. The reversal of 40014040 is 4041004.

It is a happy number.

It is a super-2 number, since 2×400140402 = 3202246794243200, which contains 22 as substring.

40014040 is a modest number, since divided by 14040 gives 40 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 40014040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92625 + ... + 93055.

It is an arithmetic number, because the mean of its divisors is an integer number (1545480).

Almost surely, 240014040 is an apocalyptic number.

40014040 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 40014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49455360).

40014040 is an abundant number, since it is smaller than the sum of its proper divisors (58896680).

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

40014040 is a wasteful number, since it uses less digits than its factorization.

40014040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 40014040 is about 6325.6651824136. The cubic root of 40014040 is about 342.0351980918.

Adding to 40014040 its reverse (4041004), we get a palindrome (44055044).

The spelling of 40014040 in words is "forty million, fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 211 220 422 431 440 844 862 1055 1688 1724 2110 2155 2321 3448 4220 4310 4642 4741 8440 8620 9284 9482 11605 17240 18568 18964 23210 23705 37928 46420 47410 90941 92840 94820 181882 189640 363764 454705 727528 909410 1000351 1818820 2000702 3637640 4001404 5001755 8002808 10003510 20007020 40014040