Search a number
-
+
1968330 = 2357213103
BaseRepresentation
bin111100000100011001010
310201000001010
413200203022
51000441310
6110104350
722505400
oct7404312
93630033
101968330
111124921
127ab0b6
1353bbc0
14393470
1528d320
hex1e08ca

1968330 has 96 divisors (see below), whose sum is σ = 5975424. Its totient is φ = 411264.

The previous prime is 1968301. The next prime is 1968331. The reversal of 1968330 is 338691.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1968331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19059 + ... + 19161.

It is an arithmetic number, because the mean of its divisors is an integer number (62244).

21968330 is an apocalyptic number.

1968330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1968330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987712).

1968330 is an abundant number, since it is smaller than the sum of its proper divisors (4007094).

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

1968330 is a wasteful number, since it uses less digits than its factorization.

1968330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 1968330 is about 1402.9718457617. The cubic root of 1968330 is about 125.3235352106.

The spelling of 1968330 in words is "one million, nine hundred sixty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 103 105 130 147 182 195 206 210 245 273 294 309 390 455 490 515 546 618 637 721 735 910 1030 1274 1339 1365 1442 1470 1545 1911 2163 2678 2730 3090 3185 3605 3822 4017 4326 5047 6370 6695 7210 8034 9373 9555 10094 10815 13390 15141 18746 19110 20085 21630 25235 28119 30282 40170 46865 50470 56238 65611 75705 93730 131222 140595 151410 196833 281190 328055 393666 656110 984165 1968330