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4190016 = 263139157
BaseRepresentation
bin1111111110111101000000
321212212121210
433332331000
52033040031
6225450120
750420535
oct17767500
97785553
104190016
112402026
1214a0940
13b391cc
147b0d8c
1557b746
hex3fef40

4190016 has 56 divisors (see below), whose sum is σ = 11236960. Its totient is φ = 1377792.

The previous prime is 4190009. The next prime is 4190023. The reversal of 4190016 is 6100914.

It is an interprime number because it is at equal distance from previous prime (4190009) and next prime (4190023).

It is a junction number, because it is equal to n+sod(n) for n = 4189974 and 4190001.

It is a congruent number.

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, 26610 + ... + 26766.

It is an arithmetic number, because the mean of its divisors is an integer number (200660).

Almost surely, 24190016 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 4190016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5618480).

4190016 is an abundant number, since it is smaller than the sum of its proper divisors (7046944).

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

4190016 is a wasteful number, since it uses less digits than its factorization.

4190016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 4190016 is about 2046.9528572979. The cubic root of 4190016 is about 161.2149181538.

The spelling of 4190016 in words is "four million, one hundred ninety thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 139 157 192 278 314 417 471 556 628 834 942 1112 1256 1668 1884 2224 2512 3336 3768 4448 5024 6672 7536 8896 10048 13344 15072 21823 26688 30144 43646 65469 87292 130938 174584 261876 349168 523752 698336 1047504 1396672 2095008 4190016