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503240040 = 233451271223
BaseRepresentation
bin11101111111101…
…101010101101000
31022001221020120000
4131333231111220
52012312140130
6121534103000
715320320062
oct3577552550
91261836500
10503240040
1123907a766
1212064aa60
138034aa94
144ab9a732
152e2a8260
hex1dfed568

503240040 has 160 divisors (see below), whose sum is σ = 1706158080. Its totient is φ = 133031808.

The previous prime is 503240021. The next prime is 503240041. The reversal of 503240040 is 40042305.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 503239995 and 503240022.

It is not an unprimeable number, because it can be changed into a prime (503240041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 410869 + ... + 412091.

It is an arithmetic number, because the mean of its divisors is an integer number (10663488).

Almost surely, 2503240040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853079040).

503240040 is an abundant number, since it is smaller than the sum of its proper divisors (1202918040).

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

503240040 is a wasteful number, since it uses less digits than its factorization.

503240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 503240040 is about 22433.0122810112. The cubic root of 503240040 is about 795.4112503793.

Adding to 503240040 its reverse (40042305), we get a palindrome (543282345).

The spelling of 503240040 in words is "five hundred three million, two hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 127 135 162 180 216 254 270 324 360 381 405 508 540 635 648 762 810 1016 1080 1143 1223 1270 1524 1620 1905 2286 2446 2540 3048 3240 3429 3669 3810 4572 4892 5080 5715 6115 6858 7338 7620 9144 9784 10287 11007 11430 12230 13716 14676 15240 17145 18345 20574 22014 22860 24460 27432 29352 33021 34290 36690 41148 44028 45720 48920 51435 55035 66042 68580 73380 82296 88056 99063 102870 110070 132084 137160 146760 155321 165105 198126 205740 220140 264168 310642 330210 396252 411480 440280 465963 495315 621284 660420 776605 792504 931926 990630 1242568 1320840 1397889 1553210 1863852 1981260 2329815 2795778 3106420 3727704 3962520 4193667 4659630 5591556 6212840 6989445 8387334 9319260 11183112 12581001 13978890 16774668 18638520 20968335 25162002 27957780 33549336 41936670 50324004 55915560 62905005 83873340 100648008 125810010 167746680 251620020 503240040