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4419020 = 2251929401
BaseRepresentation
bin10000110110110111001100
322022111202102
4100312313030
52112402040
6234414232
752363304
oct20666714
98274672
104419020
112549091
121591378
13bb9508
14830604
155c4515
hex436dcc

4419020 has 48 divisors (see below), whose sum is σ = 10130400. Its totient is φ = 1612800.

The previous prime is 4419017. The next prime is 4419071. The reversal of 4419020 is 209144.

4419020 = T361 + T362 + ... + T418.

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 = 4418983 and 4419001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10820 + ... + 11220.

It is an arithmetic number, because the mean of its divisors is an integer number (211050).

Almost surely, 24419020 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 4419020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5065200).

4419020 is an abundant number, since it is smaller than the sum of its proper divisors (5711380).

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

4419020 is a wasteful number, since it uses less digits than its factorization.

4419020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 4419020 is about 2102.1465220103. The cubic root of 4419020 is about 164.1000282102.

The spelling of 4419020 in words is "four million, four hundred nineteen thousand, twenty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 380 401 551 580 802 1102 1604 2005 2204 2755 4010 5510 7619 8020 11020 11629 15238 23258 30476 38095 46516 58145 76190 116290 152380 220951 232580 441902 883804 1104755 2209510 4419020