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4257220 = 2251137523
BaseRepresentation
bin10000001111010111000100
322000021210211
4100033113010
52042212340
6231125204
751120502
oct20172704
98007724
104257220
112448570
121513804
13b60986
147cb672
155915ea
hex40f5c4

4257220 has 48 divisors (see below), whose sum is σ = 10035648. Its totient is φ = 1503360.

The previous prime is 4257217. The next prime is 4257221. The reversal of 4257220 is 227524.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4257191 and 4257200.

It is not an unprimeable number, because it can be changed into a prime (4257221) 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, 7879 + ... + 8401.

It is an arithmetic number, because the mean of its divisors is an integer number (209076).

Almost surely, 24257220 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 4257220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5017824).

4257220 is an abundant number, since it is smaller than the sum of its proper divisors (5778428).

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

4257220 is a wasteful number, since it uses less digits than its factorization.

4257220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 4257220 is about 2063.3031769471. The cubic root of 4257220 is about 162.0722636503.

The spelling of 4257220 in words is "four million, two hundred fifty-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 523 740 814 1046 1628 2035 2092 2615 4070 5230 5753 8140 10460 11506 19351 23012 28765 38702 57530 77404 96755 115060 193510 212861 387020 425722 851444 1064305 2128610 4257220