Search a number
-
+
1970368 = 26171811
BaseRepresentation
bin111100001000011000000
310201002211121
413201003000
51001022433
6110122024
722514341
oct7410300
93632747
101970368
111126404
127b0314
1353caca
143940c8
1528dc2d
hex1e10c0

1970368 has 28 divisors (see below), whose sum is σ = 4142232. Its totient is φ = 926720.

The previous prime is 1970363. The next prime is 1970369. The reversal of 1970368 is 8630791.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (1970363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 183 + ... + 1993.

21970368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1970368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071116).

1970368 is an abundant number, since it is smaller than the sum of its proper divisors (2171864).

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

1970368 is a wasteful number, since it uses less digits than its factorization.

1970368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 1970368 is about 1403.6979732122. The cubic root of 1970368 is about 125.3667734321.

The spelling of 1970368 in words is "one million, nine hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 1811 3622 7244 14488 28976 30787 57952 61574 115904 123148 246296 492592 985184 1970368