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4035420 = 223454753
BaseRepresentation
bin1111011001001101011100
321121000120000
433121031130
52013113140
6222254300
746205034
oct17311534
97530500
104035420
112306964
121427390
13ab3a2c
147708c4
1554aa30
hex3d935c

4035420 has 120 divisors (see below), whose sum is σ = 13172544. Its totient is φ = 1033344.

The previous prime is 4035403. The next prime is 4035431. The reversal of 4035420 is 245304.

It is a happy number.

It is a super-2 number, since 2×40354202 = 32569229152800, 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 = 4035393 and 4035402.

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 39 ways as a sum of consecutive naturals, for example, 76114 + ... + 76166.

Almost surely, 24035420 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 4035420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586272).

4035420 is an abundant number, since it is smaller than the sum of its proper divisors (9137124).

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

4035420 is a wasteful number, since it uses less digits than its factorization.

4035420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 110 counting only the distinct ones).

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

The square root of 4035420 is about 2008.8354835576. The cubic root of 4035420 is about 159.2072768405.

The spelling of 4035420 in words is "four million, thirty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 53 54 60 81 90 94 106 108 135 141 159 162 180 188 212 235 265 270 282 318 324 405 423 470 477 530 540 564 636 705 795 810 846 940 954 1060 1269 1410 1431 1590 1620 1692 1908 2115 2385 2491 2538 2820 2862 3180 3807 4230 4293 4770 4982 5076 5724 6345 7155 7473 7614 8460 8586 9540 9964 12455 12690 14310 14946 15228 17172 19035 21465 22419 24910 25380 28620 29892 37365 38070 42930 44838 49820 67257 74730 76140 85860 89676 112095 134514 149460 201771 224190 269028 336285 403542 448380 672570 807084 1008855 1345140 2017710 4035420