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1909116 = 2233111607
BaseRepresentation
bin111010010000101111100
310120222211000
413102011330
5442042431
6104530300
722140636
oct7220574
93528730
101909116
111094390
12780990
1351ac71
14379a56
1527a9e6
hex1d217c

1909116 has 48 divisors (see below), whose sum is σ = 5402880. Its totient is φ = 578160.

The previous prime is 1909111. The next prime is 1909121. The reversal of 1909116 is 6119091.

It is an interprime number because it is at equal distance from previous prime (1909111) and next prime (1909121).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1909116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1909111) 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, 385 + ... + 1991.

It is an arithmetic number, because the mean of its divisors is an integer number (112560).

21909116 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 1909116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701440).

1909116 is an abundant number, since it is smaller than the sum of its proper divisors (3493764).

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

1909116 is a wasteful number, since it uses less digits than its factorization.

1909116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The square root of 1909116 is about 1381.7076391191. The cubic root of 1909116 is about 124.0540000669.

It can be divided in two parts, 1909 and 116, that added together give a square (2025 = 452).

The spelling of 1909116 in words is "one million, nine hundred nine thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 1607 3214 4821 6428 9642 14463 17677 19284 28926 35354 43389 53031 57852 70708 86778 106062 159093 173556 212124 318186 477279 636372 954558 1909116