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4147220 = 2257112693
BaseRepresentation
bin1111110100100000010100
321210200220202
433310200110
52030202340
6224520032
750152010
oct17644024
97720822
104147220
112382960
121480018
13b2289c
1479d540
1556dc15
hex3f4814

4147220 has 48 divisors (see below), whose sum is σ = 10862208. Its totient is φ = 1292160.

The previous prime is 4147163. The next prime is 4147229. The reversal of 4147220 is 227414.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4147192 and 4147201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4147229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194 + ... + 2886.

It is an arithmetic number, because the mean of its divisors is an integer number (226296).

Almost surely, 24147220 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 4147220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5431104).

4147220 is an abundant number, since it is smaller than the sum of its proper divisors (6714988).

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

4147220 is a wasteful number, since it uses less digits than its factorization.

4147220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 4147220 is about 2036.4724402751. The cubic root of 4147220 is about 160.6641662882.

The spelling of 4147220 in words is "four million, one hundred forty-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 2693 5386 10772 13465 18851 26930 29623 37702 53860 59246 75404 94255 118492 148115 188510 207361 296230 377020 414722 592460 829444 1036805 2073610 4147220