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507230010 = 232572927763
BaseRepresentation
bin11110001110111…
…011011100111010
31022100102221202200
4132032323130322
52014322330020
6122155411030
715366245460
oct3616733472
91270387680
10507230010
11240355461
12121a53a76
1381116c01
144b518830
152e7e5590
hex1e3bb73a

507230010 has 96 divisors (see below), whose sum is σ = 1559226240. Its totient is φ = 111936384.

The previous prime is 507229997. The next prime is 507230057. The reversal of 507230010 is 10032705.

507230010 = T5900 + T5901 + ... + T5928.

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

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4389 + ... + 32151.

It is an arithmetic number, because the mean of its divisors is an integer number (16241940).

Almost surely, 2507230010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507230010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779613120).

507230010 is an abundant number, since it is smaller than the sum of its proper divisors (1051996230).

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

507230010 is a wasteful number, since it uses less digits than its factorization.

507230010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27812 (or 27809 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 507230010 is about 22521.7674706050. The cubic root of 507230010 is about 797.5078749104.

Adding to 507230010 its reverse (10032705), we get a palindrome (517262715).

The spelling of 507230010 in words is "five hundred seven million, two hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 42 45 58 63 70 87 90 105 126 145 174 203 210 261 290 315 406 435 522 609 630 870 1015 1218 1305 1827 2030 2610 3045 3654 6090 9135 18270 27763 55526 83289 138815 166578 194341 249867 277630 388682 416445 499734 583023 805127 832890 971705 1166046 1249335 1610254 1749069 1943410 2415381 2498670 2915115 3498138 4025635 4830762 5635889 5830230 7246143 8051270 8745345 11271778 12076905 14492286 16907667 17490690 24153810 28179445 33815334 36230715 50723001 56358890 72461430 84538335 101446002 169076670 253615005 507230010