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2089780 = 2257112359
BaseRepresentation
bin111111110001100110100
310221011122021
413332030310
51013333110
6112442524
723522440
oct7761464
93834567
102089780
1111a80a0
12849444
13582274
143c5820
152b42da
hex1fe334

2089780 has 96 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 612480.

The previous prime is 2089751. The next prime is 2089781. The reversal of 2089780 is 879802.

2089780 = 1652 + 1662 + ... + 2202.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2089781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35391 + ... + 35449.

It is an arithmetic number, because the mean of its divisors is an integer number (60480).

22089780 is an apocalyptic number.

2089780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2089780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903040).

2089780 is an abundant number, since it is smaller than the sum of its proper divisors (3716300).

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

2089780 is a wasteful number, since it uses less digits than its factorization.

2089780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 2089780 is about 1445.6071388866. The cubic root of 2089780 is about 127.8498401889.

It can be divided in two parts, 20 and 89780, that multiplied together give a square (1795600 = 13402).

The spelling of 2089780 in words is "two million, eighty-nine thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 23 28 35 44 46 55 59 70 77 92 110 115 118 140 154 161 220 230 236 253 295 308 322 385 413 460 506 590 644 649 770 805 826 1012 1180 1265 1298 1357 1540 1610 1652 1771 2065 2530 2596 2714 3220 3245 3542 4130 4543 5060 5428 6490 6785 7084 8260 8855 9086 9499 12980 13570 14927 17710 18172 18998 22715 27140 29854 35420 37996 45430 47495 59708 74635 90860 94990 104489 149270 189980 208978 298540 417956 522445 1044890 2089780