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4152420 = 22325172359
BaseRepresentation
bin1111110101110001100100
321210222001100
433311301210
52030334140
6225000100
750203116
oct17656144
97728040
104152420
112386858
121483030
13b2506c
147a13b6
15570530
hex3f5c64

4152420 has 144 divisors (see below), whose sum is σ = 14152320. Its totient is φ = 979968.

The previous prime is 4152409. The next prime is 4152433. The reversal of 4152420 is 242514.

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 = 4152393 and 4152402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70351 + ... + 70409.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

Almost surely, 24152420 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 4152420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160).

4152420 is an abundant number, since it is smaller than the sum of its proper divisors (9999900).

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

4152420 is a wasteful number, since it uses less digits than its factorization.

4152420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 109 counting only the distinct ones).

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

The square root of 4152420 is about 2037.7487578207. The cubic root of 4152420 is about 160.7312879367.

Adding to 4152420 its reverse (242514), we get a palindrome (4394934).

The spelling of 4152420 in words is "four million, one hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 23 30 34 36 45 46 51 59 60 68 69 85 90 92 102 115 118 138 153 170 177 180 204 207 230 236 255 276 295 306 340 345 354 391 414 460 510 531 590 612 690 708 765 782 828 885 1003 1020 1035 1062 1173 1180 1357 1380 1530 1564 1770 1955 2006 2070 2124 2346 2655 2714 3009 3060 3519 3540 3910 4012 4071 4140 4692 5015 5310 5428 5865 6018 6785 7038 7820 8142 9027 10030 10620 11730 12036 12213 13570 14076 15045 16284 17595 18054 20060 20355 23069 23460 24426 27140 30090 35190 36108 40710 45135 46138 48852 60180 61065 69207 70380 81420 90270 92276 115345 122130 138414 180540 207621 230690 244260 276828 346035 415242 461380 692070 830484 1038105 1384140 2076210 4152420