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4190620 = 225737809
BaseRepresentation
bin1111111111000110011100
321212220110011
433333012130
52033044440
6225453004
750422360
oct17770634
97786404
104190620
112402525
1214a1164
13b39575
147b12a0
1557b9ea
hex3ff19c

4190620 has 48 divisors (see below), whose sum is σ = 10342080. Its totient is φ = 1396224.

The previous prime is 4190617. The next prime is 4190629. The reversal of 4190620 is 260914.

4190620 = T202 + T203 + ... + T321.

It is a super-2 number, since 2×41906202 = 35122591968800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 4190591 and 4190600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4190629) 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, 4776 + ... + 5584.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 24190620 is an apocalyptic number.

4190620 is the 1295-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4190620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171040).

4190620 is an abundant number, since it is smaller than the sum of its proper divisors (6151460).

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

4190620 is a wasteful number, since it uses less digits than its factorization.

4190620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 4190620 is about 2047.1003883542. The cubic root of 4190620 is about 161.2226642763. Note that the first 3 decimals are identical.

The spelling of 4190620 in words is "four million, one hundred ninety thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 809 1036 1295 1618 2590 3236 4045 5180 5663 8090 11326 16180 22652 28315 29933 56630 59866 113260 119732 149665 209531 299330 419062 598660 838124 1047655 2095310 4190620