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4221420 = 2235719232
BaseRepresentation
bin10000000110100111101100
321221110200220
4100012213230
52040041140
6230251340
750611230
oct20064754
97843626
104221420
112423685
1214b6b50
13b4a5a8
147bc5c0
15585bd0
hex4069ec

4221420 has 144 divisors (see below), whose sum is σ = 14864640. Its totient is φ = 874368.

The previous prime is 4221419. The next prime is 4221421. The reversal of 4221420 is 241224.

It is an interprime number because it is at equal distance from previous prime (4221419) and next prime (4221421).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4221420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221421) 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, 183529 + ... + 183551.

Almost surely, 24221420 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 4221420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7432320).

4221420 is an abundant number, since it is smaller than the sum of its proper divisors (10643220).

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

4221420 is a wasteful number, since it uses less digits than its factorization.

4221420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4221420 is about 2054.6094519397. The cubic root of 4221420 is about 161.6166825081.

Adding to 4221420 its reverse (241224), we get a palindrome (4462644).

The spelling of 4221420 in words is "four million, two hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 23 28 30 35 38 42 46 57 60 69 70 76 84 92 95 105 114 115 133 138 140 161 190 210 228 230 266 276 285 322 345 380 399 420 437 460 483 529 532 570 644 665 690 798 805 874 966 1058 1140 1311 1330 1380 1587 1596 1610 1748 1932 1995 2116 2185 2415 2622 2645 2660 3059 3174 3220 3703 3990 4370 4830 5244 5290 6118 6348 6555 7406 7935 7980 8740 9177 9660 10051 10580 11109 12236 13110 14812 15295 15870 18354 18515 20102 22218 26220 30153 30590 31740 36708 37030 40204 44436 45885 50255 55545 60306 61180 70357 74060 91770 100510 111090 120612 140714 150765 183540 201020 211071 222180 281428 301530 351785 422142 603060 703570 844284 1055355 1407140 2110710 4221420