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4142520 = 2332537311
BaseRepresentation
bin1111110011010110111000
321210110110200
433303112320
52030030040
6224442200
750132214
oct17632670
97713420
104142520
11237a378
121479360
13b206c5
1479b944
1556c630
hex3f35b8

4142520 has 96 divisors (see below), whose sum is σ = 13871520. Its totient is φ = 1071360.

The previous prime is 4142519. The next prime is 4142521. The reversal of 4142520 is 252414.

4142520 is a `hidden beast` number, since 4 + 142 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (4142519) and next prime (4142521).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 4142493 and 4142502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13165 + ... + 13475.

It is an arithmetic number, because the mean of its divisors is an integer number (144495).

Almost surely, 24142520 is an apocalyptic number.

4142520 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 4142520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6935760).

4142520 is an abundant number, since it is smaller than the sum of its proper divisors (9729000).

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

4142520 is a wasteful number, since it uses less digits than its factorization.

4142520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 358 counting only the distinct ones).

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

The square root of 4142520 is about 2035.3181569475. The cubic root of 4142520 is about 160.6034503533.

Adding to 4142520 its reverse (252414), we get a palindrome (4394934).

The spelling of 4142520 in words is "four million, one hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 311 333 360 370 444 555 622 666 740 888 933 1110 1244 1332 1480 1555 1665 1866 2220 2488 2664 2799 3110 3330 3732 4440 4665 5598 6220 6660 7464 9330 11196 11507 12440 13320 13995 18660 22392 23014 27990 34521 37320 46028 55980 57535 69042 92056 103563 111960 115070 138084 172605 207126 230140 276168 345210 414252 460280 517815 690420 828504 1035630 1380840 2071260 4142520