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4016420 = 2251711813
BaseRepresentation
bin1111010100100100100100
321120001111022
433110210210
52012011140
6222030312
746065452
oct17244444
97501438
104016420
1122a3661
121418398
13aa81a5
147679d2
155450b5
hex3d4924

4016420 has 24 divisors (see below), whose sum is σ = 8931384. Its totient is φ = 1511936.

The previous prime is 4016407. The next prime is 4016443. The reversal of 4016420 is 246104.

It can be written as a sum of positive squares in 4 ways, for example, as 652864 + 3363556 = 808^2 + 1834^2 .

It is a super-4 number, since 4×40164204 (a number of 28 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5567 + ... + 6246.

It is an arithmetic number, because the mean of its divisors is an integer number (372141).

Almost surely, 24016420 is an apocalyptic number.

It is an amenable number.

4016420 is an abundant number, since it is smaller than the sum of its proper divisors (4914964).

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

4016420 is a wasteful number, since it uses less digits than its factorization.

4016420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11839 (or 11837 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4016420 is about 2004.1007958683. The cubic root of 4016420 is about 158.9570180352.

The spelling of 4016420 in words is "four million, sixteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 11813 23626 47252 59065 118130 200821 236260 401642 803284 1004105 2008210 4016420