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4278420 = 2234519139
BaseRepresentation
bin10000010100100010010100
322001100220000
4100110202110
52043402140
6231411300
751236346
oct20244224
98040800
104278420
112462493
121523b30
13b6a513
147d5296
15597a30
hex414894

4278420 has 120 divisors (see below), whose sum is σ = 14229600. Its totient is φ = 1073088.

The previous prime is 4278413. The next prime is 4278431. The reversal of 4278420 is 248724.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30711 + ... + 30849.

It is an arithmetic number, because the mean of its divisors is an integer number (118580).

Almost surely, 24278420 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 4278420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7114800).

4278420 is an abundant number, since it is smaller than the sum of its proper divisors (9951180).

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

4278420 is a wasteful number, since it uses less digits than its factorization.

4278420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4278420 is about 2068.4341903962. The cubic root of 4278420 is about 162.3408461467.

The spelling of 4278420 in words is "four million, two hundred seventy-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 139 162 171 180 190 228 270 278 285 324 342 380 405 417 513 540 556 570 684 695 810 834 855 1026 1140 1251 1390 1539 1620 1668 1710 2052 2085 2502 2565 2641 2780 3078 3420 3753 4170 5004 5130 5282 6156 6255 7506 7695 7923 8340 10260 10564 11259 12510 13205 15012 15390 15846 18765 22518 23769 25020 26410 30780 31692 37530 39615 45036 47538 52820 56295 71307 75060 79230 95076 112590 118845 142614 158460 213921 225180 237690 285228 356535 427842 475380 713070 855684 1069605 1426140 2139210 4278420