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40054040 = 235131723197
BaseRepresentation
bin1001100011001…
…0110100011000
32210100221210222
42120302310120
540223212130
63550255212
7664311425
oct230626430
983327728
1040054040
1120678214
12114b7508
1383b5320
145468d4c
1537b2ce5
hex2632d18

40054040 has 128 divisors (see below), whose sum is σ = 107775360. Its totient is φ = 13246464.

The previous prime is 40054039. The next prime is 40054043. The reversal of 40054040 is 4045004.

It is a super-2 number, since 2×400540402 = 3208652240643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40054043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203222 + ... + 203418.

It is an arithmetic number, because the mean of its divisors is an integer number (841995).

Almost surely, 240054040 is an apocalyptic number.

40054040 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 40054040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53887680).

40054040 is an abundant number, since it is smaller than the sum of its proper divisors (67721320).

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

40054040 is a wasteful number, since it uses less digits than its factorization.

40054040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 40054040 is about 6328.8261154814. The cubic root of 40054040 is about 342.1491318643.

Adding to 40054040 its reverse (4045004), we get a palindrome (44099044).

The spelling of 40054040 in words is "forty million, fifty-four thousand, forty", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 13 17 20 23 26 34 40 46 52 65 68 85 92 104 115 130 136 170 184 197 221 230 260 299 340 391 394 442 460 520 598 680 782 788 884 920 985 1105 1196 1495 1564 1576 1768 1955 1970 2210 2392 2561 2990 3128 3349 3910 3940 4420 4531 5083 5122 5980 6698 7820 7880 8840 9062 10166 10244 11960 12805 13396 15640 16745 18124 20332 20488 22655 25415 25610 26792 33490 36248 40664 43537 45310 50830 51220 58903 66980 77027 87074 90620 101660 102440 117806 133960 154054 174148 181240 203320 217685 235612 294515 308108 348296 385135 435370 471224 589030 616216 770270 870740 1001351 1178060 1540540 1741480 2002702 2356120 3081080 4005404 5006755 8010808 10013510 20027020 40054040