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502023420 = 22355531949
BaseRepresentation
bin11101111011000…
…100010011111100
31021222122102200000
4131323010103330
52012004222140
6121452034300
715304062063
oct3573042374
91258572600
10502023420
11238419698
12120162990
13800130a2
144a9611da
152e117a30
hex1dec44fc

502023420 has 144 divisors (see below), whose sum is σ = 1609826400. Its totient is φ = 131279616.

The previous prime is 502023407. The next prime is 502023421. The reversal of 502023420 is 24320205.

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 = 502023393 and 502023402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (502023421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256606 + ... + 258554.

It is an arithmetic number, because the mean of its divisors is an integer number (11179350).

Almost surely, 2502023420 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 502023420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804913200).

502023420 is an abundant number, since it is smaller than the sum of its proper divisors (1107802980).

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

502023420 is a wasteful number, since it uses less digits than its factorization.

502023420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2012 counting only the distinct ones).

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

The square root of 502023420 is about 22405.8791391902. The cubic root of 502023420 is about 794.7697446385.

Adding to 502023420 its reverse (24320205), we get a palindrome (526343625).

The spelling of 502023420 in words is "five hundred two million, twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 81 90 106 108 135 159 162 180 212 243 265 270 318 324 405 477 486 530 540 636 795 810 954 972 1060 1215 1431 1590 1620 1908 1949 2385 2430 2862 3180 3898 4293 4770 4860 5724 5847 7155 7796 8586 9540 9745 11694 12879 14310 17172 17541 19490 21465 23388 25758 28620 29235 35082 38980 42930 51516 52623 58470 64395 70164 85860 87705 103297 105246 116940 128790 157869 175410 206594 210492 257580 263115 309891 315738 350820 413188 473607 516485 526230 619782 631476 789345 929673 947214 1032970 1052460 1239564 1549455 1578690 1859346 1894428 2065940 2368035 2789019 3098910 3157380 3718692 4648365 4736070 5578038 6197820 8367057 9296730 9472140 11156076 13945095 16734114 18593460 25101171 27890190 33468228 41835285 50202342 55780380 83670570 100404684 125505855 167341140 251011710 502023420