Search a number
-
+
1961190 = 2325711283
BaseRepresentation
bin111011110110011100110
310200122020200
413132303212
51000224230
6110011330
722445520
oct7366346
93618220
101961190
11111a520
127a6b46
1353888a
14390a10
1528b160
hex1dece6

1961190 has 96 divisors (see below), whose sum is σ = 6379776. Its totient is φ = 406080.

The previous prime is 1961173. The next prime is 1961213. The reversal of 1961190 is 911691.

1961190 is a nontrivial binomial coefficient, being equal to C(1981, 2).

It is a super-2 number, since 2×19611902 = 7692532432200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6789 + ... + 7071.

It is an arithmetic number, because the mean of its divisors is an integer number (66456).

21961190 is an apocalyptic number.

1961190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1961190 is the 1980-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1961190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3189888).

1961190 is an abundant number, since it is smaller than the sum of its proper divisors (4418586).

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

1961190 is a wasteful number, since it uses less digits than its factorization.

1961190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 311 counting only the distinct ones).

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

The square root of 1961190 is about 1400.4249355106. The cubic root of 1961190 is about 125.1718170563.

It can be divided in two parts, 19611 and 90, that added together give a triangular number (19701 = T198).

The spelling of 1961190 in words is "one million, nine hundred sixty-one thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 283 315 330 385 462 495 566 630 693 770 849 990 1155 1386 1415 1698 1981 2310 2547 2830 3113 3465 3962 4245 5094 5943 6226 6930 8490 9339 9905 11886 12735 15565 17829 18678 19810 21791 25470 28017 29715 31130 35658 43582 46695 56034 59430 65373 89145 93390 108955 130746 140085 178290 196119 217910 280170 326865 392238 653730 980595 1961190