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4098220 = 225773401
BaseRepresentation
bin1111101000100010101100
321201012200221
433220202230
52022120340
6223501124
746556110
oct17504254
97635627
104098220
11234a065
1214577a4
13b064a9
14789740
1555e44a
hex3e88ac

4098220 has 48 divisors (see below), whose sum is σ = 9995328. Its totient is φ = 1382400.

The previous prime is 4098217. The next prime is 4098229. The reversal of 4098220 is 228904.

4098220 = 2002 + 2012 + ... + 2722.

4098220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4098229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10020 + ... + 10420.

It is an arithmetic number, because the mean of its divisors is an integer number (208236).

Almost surely, 24098220 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 4098220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4997664).

4098220 is an abundant number, since it is smaller than the sum of its proper divisors (5897108).

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

4098220 is a wasteful number, since it uses less digits than its factorization.

4098220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 4098220 is about 2024.4060857447. The cubic root of 4098220 is about 160.0289010293.

The spelling of 4098220 in words is "four million, ninety-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 292 365 401 511 730 802 1022 1460 1604 2005 2044 2555 2807 4010 5110 5614 8020 10220 11228 14035 28070 29273 56140 58546 117092 146365 204911 292730 409822 585460 819644 1024555 2049110 4098220