Search a number
-
+
4218240 = 2735133
BaseRepresentation
bin10000000101110110000000
321221022100010
4100011312000
52034440430
6230224520
750566035
oct20056600
97838303
104218240
112421254
1214b5140
13b49000
147bb38c
15584cb0
hex405d80

4218240 has 128 divisors (see below), whose sum is σ = 14565600. Its totient is φ = 1038336.

The previous prime is 4218199. The next prime is 4218241. The reversal of 4218240 is 428124.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4218241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 324474 + ... + 324486.

Almost surely, 24218240 is an apocalyptic number.

4218240 is a gapful number since it is divisible by the number (40) 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 4218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7282800).

4218240 is an abundant number, since it is smaller than the sum of its proper divisors (10347360).

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

4218240 is an equidigital number, since it uses as much as digits as its factorization.

4218240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4218240 is about 2053.8354364457. The cubic root of 4218240 is about 161.5760903096.

The spelling of 4218240 in words is "four million, two hundred eighteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 169 192 195 208 240 260 312 320 338 384 390 416 480 507 520 624 640 676 780 832 845 960 1014 1040 1248 1352 1560 1664 1690 1920 2028 2080 2197 2496 2535 2704 3120 3380 4056 4160 4394 4992 5070 5408 6240 6591 6760 8112 8320 8788 10140 10816 10985 12480 13182 13520 16224 17576 20280 21632 21970 24960 26364 27040 32448 32955 35152 40560 43940 52728 54080 64896 65910 70304 81120 87880 105456 108160 131820 140608 162240 175760 210912 263640 281216 324480 351520 421824 527280 703040 843648 1054560 1406080 2109120 4218240