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203140620 = 223256771667
BaseRepresentation
bin11000001101110…
…10111000001100
3112011020121112200
430012322320030
5404000444440
632054001500
75014444464
oct1406727014
9464217480
10203140620
11a4738611
1258046290
1333116967
141cd9cba4
1512c79c30
hexc1bae0c

203140620 has 72 divisors (see below), whose sum is σ = 617473584. Its totient is φ = 54058368.

The previous prime is 203140607. The next prime is 203140661. The reversal of 203140620 is 26041302.

It is a happy number.

203140620 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 40 + 620 = 666.

It is a super-2 number, since 2×2031406202 = 82532222987968800, which contains 22 as substring.

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 = 203140593 and 203140602.

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 23 ways as a sum of consecutive naturals, for example, 121027 + ... + 122693.

It is an arithmetic number, because the mean of its divisors is an integer number (8576022).

Almost surely, 2203140620 is an apocalyptic number.

203140620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203140620 is an abundant number, since it is smaller than the sum of its proper divisors (414332964).

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

203140620 is a wasteful number, since it uses less digits than its factorization.

203140620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 203140620 is about 14252.7407890553. The cubic root of 203140620 is about 587.8487393790.

Adding to 203140620 its reverse (26041302), we get a palindrome (229181922).

The spelling of 203140620 in words is "two hundred three million, one hundred forty thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 677 1354 1667 2031 2708 3334 3385 4062 5001 6093 6668 6770 8124 8335 10002 10155 12186 13540 15003 16670 20004 20310 24372 25005 30006 30465 33340 40620 50010 60012 60930 75015 100020 121860 150030 300060 1128559 2257118 3385677 4514236 5642795 6771354 10157031 11285590 13542708 16928385 20314062 22571180 33856770 40628124 50785155 67713540 101570310 203140620