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684419220 = 22355140827
BaseRepresentation
bin101000110010110…
…110100010010100
31202200212002200000
4220302312202110
52400202403340
6151525251300
722650316212
oct5062664224
91680762600
10684419220
11321378321
12171263b30
13aba455b4
1466c7dcb2
1540145d30
hex28cb6894

684419220 has 72 divisors (see below), whose sum is σ = 2152978464. Its totient is φ = 182510496.

The previous prime is 684419179. The next prime is 684419237. The reversal of 684419220 is 22914486.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 65554 + ... + 75273.

Almost surely, 2684419220 is an apocalyptic number.

684419220 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

684419220 is an abundant number, since it is smaller than the sum of its proper divisors (1468559244).

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

684419220 is a wasteful number, since it uses less digits than its factorization.

684419220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140851 (or 140837 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 684419220 is about 26161.4070722505. The cubic root of 684419220 is about 881.2667792188.

It can be divided in two parts, 684 and 419220, that added together give a square (419904 = 6482).

The spelling of 684419220 in words is "six hundred eighty-four million, four hundred nineteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 140827 281654 422481 563308 704135 844962 1267443 1408270 1689924 2112405 2534886 2816540 3802329 4224810 5069772 6337215 7604658 8449620 11406987 12674430 15209316 19011645 22813974 25348860 34220961 38023290 45627948 57034935 68441922 76046580 114069870 136883844 171104805 228139740 342209610 684419220