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4214520 = 2332523509
BaseRepresentation
bin10000000100111011111000
321221010020100
4100010323320
52034331040
6230155400
750552142
oct20047370
97833210
104214520
112419482
1214b2b60
13b473cb
147b9c92
15583b30
hex404ef8

4214520 has 96 divisors (see below), whose sum is σ = 14320800. Its totient is φ = 1072896.

The previous prime is 4214519. The next prime is 4214549. The reversal of 4214520 is 254124.

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 = 4214493 and 4214502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8026 + ... + 8534.

It is an arithmetic number, because the mean of its divisors is an integer number (149175).

Almost surely, 24214520 is an apocalyptic number.

4214520 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 4214520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7160400).

4214520 is an abundant number, since it is smaller than the sum of its proper divisors (10106280).

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

4214520 is a wasteful number, since it uses less digits than its factorization.

4214520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4214520 is about 2052.9296139907. The cubic root of 4214520 is about 161.5285791966.

Adding to 4214520 its reverse (254124), we get a palindrome (4468644).

The spelling of 4214520 in words is "four million, two hundred fourteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 509 552 690 828 920 1018 1035 1380 1527 1656 2036 2070 2545 2760 3054 4072 4140 4581 5090 6108 7635 8280 9162 10180 11707 12216 15270 18324 20360 22905 23414 30540 35121 36648 45810 46828 58535 61080 70242 91620 93656 105363 117070 140484 175605 183240 210726 234140 280968 351210 421452 468280 526815 702420 842904 1053630 1404840 2107260 4214520