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503357140 = 2251113434093
BaseRepresentation
bin11110000000001…
…001111011010100
31022002011012012001
4132000021323110
52012324412030
6121540405044
715321315346
oct3600117324
91262135161
10503357140
1123914a740
121206a6784
138038c180
144abcb296
152e2cccca
hex1e009ed4

503357140 has 96 divisors (see below), whose sum is σ = 1271039616. Its totient is φ = 164989440.

The previous prime is 503357087. The next prime is 503357191. The reversal of 503357140 is 41753305.

It is a junction number, because it is equal to n+sod(n) for n = 503357099 and 503357108.

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 31 ways as a sum of consecutive naturals, for example, 120934 + ... + 125026.

It is an arithmetic number, because the mean of its divisors is an integer number (13239996).

Almost surely, 2503357140 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 503357140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635519808).

503357140 is an abundant number, since it is smaller than the sum of its proper divisors (767682476).

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

503357140 is a wasteful number, since it uses less digits than its factorization.

503357140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4169 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 503357140 is about 22435.6221219738. The cubic root of 503357140 is about 795.4729409089.

It can be divided in two parts, 50335 and 7140, that added together give a palindrome (57475).

The spelling of 503357140 in words is "five hundred three million, three hundred fifty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 43 44 52 55 65 86 110 130 143 172 215 220 260 286 430 473 559 572 715 860 946 1118 1430 1892 2236 2365 2795 2860 4093 4730 5590 6149 8186 9460 11180 12298 16372 20465 24596 30745 40930 45023 53209 61490 81860 90046 106418 122980 175999 180092 212836 225115 266045 351998 450230 532090 585299 703996 879995 900460 1064180 1170598 1759990 1935989 2287987 2341196 2926495 3519980 3871978 4575974 5852990 7743956 9151948 9679945 11439935 11705980 19359890 22879870 25167857 38719780 45759740 50335714 100671428 125839285 251678570 503357140