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40391040 = 2735109193
BaseRepresentation
bin1001101000010…
…1000110000000
32211000002002110
42122011012000
540320003130
64001415320
71000214064
oct232050600
984002073
1040391040
1120888428
121163a540
1384a2831
145515aa4
15382cab0
hex2685180

40391040 has 128 divisors (see below), whose sum is σ = 130600800. Its totient is φ = 10616832.

The previous prime is 40391003. The next prime is 40391053. The reversal of 40391040 is 4019304.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×403910402 = 3262872224563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40390998 and 40391016.

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, 209184 + ... + 209376.

Almost surely, 240391040 is an apocalyptic number.

40391040 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 40391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65300400).

40391040 is an abundant number, since it is smaller than the sum of its proper divisors (90209760).

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

40391040 is a wasteful number, since it uses less digits than its factorization.

40391040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 40391040 is about 6355.3945589554. The cubic root of 40391040 is about 343.1060256395.

The spelling of 40391040 in words is "forty million, three hundred ninety-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 109 120 128 160 192 193 218 240 320 327 384 386 436 480 545 579 640 654 772 872 960 965 1090 1158 1308 1544 1635 1744 1920 1930 2180 2316 2616 2895 3088 3270 3488 3860 4360 4632 5232 5790 6176 6540 6976 7720 8720 9264 10464 11580 12352 13080 13952 15440 17440 18528 20928 21037 23160 24704 26160 30880 34880 37056 41856 42074 46320 52320 61760 63111 69760 74112 84148 92640 104640 105185 123520 126222 168296 185280 209280 210370 252444 315555 336592 370560 420740 504888 631110 673184 841480 1009776 1262220 1346368 1682960 2019552 2524440 2692736 3365920 4039104 5048880 6731840 8078208 10097760 13463680 20195520 40391040