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3540420 = 22325131789
BaseRepresentation
bin1101100000010111000100
320122212112200
431200113010
51401243140
6203514500
742043632
oct15402704
96585480
103540420
111aa8a74
121228a30
1396c630
14682352
1549e030
hex3605c4

3540420 has 144 divisors (see below), whose sum is σ = 12383280. Its totient is φ = 811008.

The previous prime is 3540401. The next prime is 3540421. The reversal of 3540420 is 240453.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 278784 + 3261636 = 528^2 + 1806^2 .

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 = 3540393 and 3540402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3540421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39736 + ... + 39824.

It is an arithmetic number, because the mean of its divisors is an integer number (85995).

Almost surely, 23540420 is an apocalyptic number.

3540420 is a gapful number since it is divisible by the number (30) 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 3540420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191640).

3540420 is an abundant number, since it is smaller than the sum of its proper divisors (8842860).

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

3540420 is a wasteful number, since it uses less digits than its factorization.

3540420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 129 counting only the distinct ones).

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

The square root of 3540420 is about 1881.6003826530. The cubic root of 3540420 is about 152.4116840609.

Adding to 3540420 its reverse (240453), we get a palindrome (3780873).

The spelling of 3540420 in words is "three million, five hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 89 90 102 117 130 153 156 170 178 180 195 204 221 234 255 260 267 306 340 356 390 442 445 468 510 534 585 612 663 765 780 801 884 890 1020 1068 1105 1157 1170 1326 1335 1513 1530 1602 1780 1989 2210 2314 2340 2652 2670 3026 3060 3204 3315 3471 3978 4005 4420 4539 4628 5340 5785 6052 6630 6942 7565 7956 8010 9078 9945 10413 11570 13260 13617 13884 15130 16020 17355 18156 19669 19890 20826 22695 23140 27234 30260 34710 39338 39780 41652 45390 52065 54468 59007 68085 69420 78676 90780 98345 104130 118014 136170 177021 196690 208260 236028 272340 295035 354042 393380 590070 708084 885105 1180140 1770210 3540420