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4038240 = 253547179
BaseRepresentation
bin1111011001111001100000
321121011102110
433121321200
52013210430
6222315320
746216203
oct17317140
97534373
104038240
112308a98
121428b40
13ab50bb
1477193a
1554b7b0
hex3d9e60

4038240 has 96 divisors (see below), whose sum is σ = 13063680. Its totient is φ = 1048064.

The previous prime is 4038239. The next prime is 4038247. The reversal of 4038240 is 428304.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4038247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22471 + ... + 22649.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

Almost surely, 24038240 is an apocalyptic number.

4038240 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 4038240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840).

4038240 is an abundant number, since it is smaller than the sum of its proper divisors (9025440).

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

4038240 is a wasteful number, since it uses less digits than its factorization.

4038240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4038240 is about 2009.5372601671. The cubic root of 4038240 is about 159.2443535249.

It can be divided in two parts, 4038 and 240, that added together give a triangular number (4278 = T92).

The spelling of 4038240 in words is "four million, thirty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 120 141 160 179 188 235 240 282 358 376 470 480 537 564 705 716 752 895 940 1074 1128 1410 1432 1504 1790 1880 2148 2256 2685 2820 2864 3580 3760 4296 4512 5370 5640 5728 7160 7520 8413 8592 10740 11280 14320 16826 17184 21480 22560 25239 28640 33652 42065 42960 50478 67304 84130 85920 100956 126195 134608 168260 201912 252390 269216 336520 403824 504780 673040 807648 1009560 1346080 2019120 4038240