Search a number
-
+
2130960 = 243513683
BaseRepresentation
bin1000001000010000010000
311000021010110
420020100100
51021142320
6113401320
724053466
oct10102020
94007113
102130960
111226027
12869240
13597c30
143d6836
152c15e0
hex208410

2130960 has 80 divisors (see below), whose sum is σ = 7124544. Its totient is φ = 523776.

The previous prime is 2130959. The next prime is 2130979. The reversal of 2130960 is 690312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2779 + ... + 3461.

22130960 is an apocalyptic number.

2130960 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 2130960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562272).

2130960 is an abundant number, since it is smaller than the sum of its proper divisors (4993584).

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

2130960 is a wasteful number, since it uses less digits than its factorization.

2130960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 2130960 is about 1459.7808054636. The cubic root of 2130960 is about 128.6841621474.

The spelling of 2130960 in words is "two million, one hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 683 780 1040 1366 1560 2049 2732 3120 3415 4098 5464 6830 8196 8879 10245 10928 13660 16392 17758 20490 26637 27320 32784 35516 40980 44395 53274 54640 71032 81960 88790 106548 133185 142064 163920 177580 213096 266370 355160 426192 532740 710320 1065480 2130960