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4064820 = 2235371831
BaseRepresentation
bin1111100000011000110100
321122111212220
433200120310
52020033240
6223042340
746356534
oct17403064
97574786
104064820
112326a61
1214403b0
13ac4226
1477b4c4
155545d0
hex3e0634

4064820 has 48 divisors (see below), whose sum is σ = 11695488. Its totient is φ = 1054080.

The previous prime is 4064807. The next prime is 4064831. The reversal of 4064820 is 284604.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1305 + ... + 3135.

It is an arithmetic number, because the mean of its divisors is an integer number (243656).

Almost surely, 24064820 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 4064820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5847744).

4064820 is an abundant number, since it is smaller than the sum of its proper divisors (7630668).

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

4064820 is a wasteful number, since it uses less digits than its factorization.

4064820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4064820 is about 2016.1398760999. The cubic root of 4064820 is about 159.5929758656.

It can be divided in two parts, 4064 and 820, that added together give a palindrome (4884).

The spelling of 4064820 in words is "four million, sixty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 1831 2220 3662 5493 7324 9155 10986 18310 21972 27465 36620 54930 67747 109860 135494 203241 270988 338735 406482 677470 812964 1016205 1354940 2032410 4064820