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202103424 = 2734101193
BaseRepresentation
bin11000000101111…
…01101010000000
3112002021220210000
430002331222000
5403214302144
632015440000
75002564545
oct1402755200
9462256700
10202103424
11a409a326
1257826000
1332b42833
141cbacbcc
1512b22769
hexc0bda80

202103424 has 160 divisors (see below), whose sum is σ = 610558740. Its totient is φ = 66355200.

The previous prime is 202103401. The next prime is 202103441. The reversal of 202103424 is 424301202.

It can be written as a sum of positive squares in 2 ways, for example, as 197121600 + 4981824 = 14040^2 + 2232^2 .

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 = 202103397 and 202103406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1047072 + ... + 1047264.

Almost surely, 2202103424 is an apocalyptic number.

202103424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305279370).

202103424 is an abundant number, since it is smaller than the sum of its proper divisors (408455316).

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

202103424 is a wasteful number, since it uses less digits than its factorization.

202103424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 202103424 is about 14216.3083815736. The cubic root of 202103424 is about 586.8465518164.

Adding to 202103424 its reverse (424301202), we get a palindrome (626404626).

The spelling of 202103424 in words is "two hundred two million, one hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 101 108 128 144 162 192 193 202 216 288 303 324 384 386 404 432 576 579 606 648 772 808 864 909 1152 1158 1212 1296 1544 1616 1728 1737 1818 2316 2424 2592 2727 3088 3232 3456 3474 3636 4632 4848 5184 5211 5454 6176 6464 6948 7272 8181 9264 9696 10368 10422 10908 12352 12928 13896 14544 15633 16362 18528 19392 19493 20844 21816 24704 27792 29088 31266 32724 37056 38784 38986 41688 43632 55584 58176 58479 62532 65448 74112 77972 83376 87264 111168 116352 116958 125064 130896 155944 166752 174528 175437 222336 233916 250128 261792 311888 333504 349056 350874 467832 500256 523584 526311 623776 667008 701748 935664 1000512 1047168 1052622 1247552 1403496 1578933 1871328 2001024 2105244 2495104 2806992 3157866 3742656 4210488 5613984 6315732 7485312 8420976 11227968 12631464 16841952 22455936 25262928 33683904 50525856 67367808 101051712 202103424