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41394240 = 263451597
BaseRepresentation
bin1001110111101…
…0000001000000
32212220001020000
42131322001000
541044103430
64035120000
71011562626
oct235720100
985801200
1041394240
1121403118
1211a43000
138764344
1456d7516
153979e60
hex277a040

41394240 has 140 divisors (see below), whose sum is σ = 147338796. Its totient is φ = 11031552.

The previous prime is 41394239. The next prime is 41394247. The reversal of 41394240 is 4249314.

41394240 is a `hidden beast` number, since 413 + 9 + 4 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11451456 + 29942784 = 3384^2 + 5472^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (41394247) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25122 + ... + 26718.

Almost surely, 241394240 is an apocalyptic number.

41394240 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 41394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73669398).

41394240 is an abundant number, since it is smaller than the sum of its proper divisors (105944556).

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

41394240 is a wasteful number, since it uses less digits than its factorization.

41394240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 41394240 is about 6433.8355589804. The cubic root of 41394240 is about 345.9234240863.

The spelling of 41394240 in words is "forty-one million, three hundred ninety-four thousand, two hundred 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 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1597 1620 1728 2160 2592 2880 3194 3240 4320 4791 5184 6388 6480 7985 8640 9582 12776 12960 14373 15970 19164 23955 25552 25920 28746 31940 38328 43119 47910 51104 57492 63880 71865 76656 86238 95820 102208 114984 127760 129357 143730 153312 172476 191640 215595 229968 255520 258714 287460 306624 344952 383280 431190 459936 511040 517428 574920 646785 689904 766560 862380 919872 1034856 1149840 1293570 1379808 1533120 1724760 2069712 2299680 2587140 2759616 3449520 4139424 4599360 5174280 6899040 8278848 10348560 13798080 20697120 41394240