Search a number
-
+
2090760 = 2335719131
BaseRepresentation
bin111111110011100001000
310221012222120
413332130020
51013401020
6112451240
723525340
oct7763410
93835876
102090760
1111a8901
12849b20
13582849
143c5d20
152b4740
hex1fe708

2090760 has 128 divisors (see below), whose sum is σ = 7603200. Its totient is φ = 449280.

The previous prime is 2090749. The next prime is 2090771. The reversal of 2090760 is 670902.

2090760 = T328 + T329 + ... + T362.

It is an interprime number because it is at equal distance from previous prime (2090749) and next prime (2090771).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2090760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15895 + ... + 16025.

It is an arithmetic number, because the mean of its divisors is an integer number (59400).

22090760 is an apocalyptic number.

2090760 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 2090760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801600).

2090760 is an abundant number, since it is smaller than the sum of its proper divisors (5512440).

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

2090760 is a wasteful number, since it uses less digits than its factorization.

2090760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 2090760 is about 1445.9460570851. The cubic root of 2090760 is about 127.8698220791.

It can be divided in two parts, 2090 and 760, that added together give a triangular number (2850 = T75).

The spelling of 2090760 in words is "two million, ninety thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 131 133 140 152 168 190 210 228 262 266 280 285 380 393 399 420 456 524 532 570 655 665 760 786 798 840 917 1048 1064 1140 1310 1330 1572 1596 1834 1965 1995 2280 2489 2620 2660 2751 3144 3192 3668 3930 3990 4585 4978 5240 5320 5502 7336 7467 7860 7980 9170 9956 11004 12445 13755 14934 15720 15960 17423 18340 19912 22008 24890 27510 29868 34846 36680 37335 49780 52269 55020 59736 69692 74670 87115 99560 104538 110040 139384 149340 174230 209076 261345 298680 348460 418152 522690 696920 1045380 2090760