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510103040 = 295296871
BaseRepresentation
bin11110011001111…
…000111000000000
31022112211220211012
4132121320320000
52021041244130
6122341140052
715432542606
oct3631707000
91275756735
10510103040
11241a37a67
121229ba628
13818b1825
144ba65876
152ebb1995
hex1e678e00

510103040 has 80 divisors (see below), whose sum is σ = 1265410080. Its totient is φ = 196976640.

The previous prime is 510103031. The next prime is 510103057. The reversal of 510103040 is 40301015.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×5101030402 = 520410222834483200, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70805 + ... + 77675.

It is an arithmetic number, because the mean of its divisors is an integer number (15817626).

Almost surely, 2510103040 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 510103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632705040).

510103040 is an abundant number, since it is smaller than the sum of its proper divisors (755307040).

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

510103040 is an equidigital number, since it uses as much as digits as its factorization.

510103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6923 (or 6907 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 510103040 is about 22585.4608099990. The cubic root of 510103040 is about 799.0107773022.

Adding to 510103040 its reverse (40301015), we get a palindrome (550404055).

The spelling of 510103040 in words is "five hundred ten million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 512 580 640 928 1160 1280 1856 2320 2560 3712 4640 6871 7424 9280 13742 14848 18560 27484 34355 37120 54968 68710 74240 109936 137420 199259 219872 274840 398518 439744 549680 797036 879488 996295 1099360 1594072 1758976 1992590 2198720 3188144 3517952 3985180 4397440 6376288 7970360 8794880 12752576 15940720 17589760 25505152 31881440 51010304 63762880 102020608 127525760 255051520 510103040