Search a number
-
+
1975995 = 34571741
BaseRepresentation
bin111100010011010111011
310201101120000
413202122323
51001212440
6110204043
722536630
oct7423273
93641500
101975995
11112a65a
127b3623
13542538
14396187
15290730
hex1e26bb

1975995 has 80 divisors (see below), whose sum is σ = 4390848. Its totient is φ = 829440.

The previous prime is 1975991. The next prime is 1975997. The reversal of 1975995 is 5995791.

It is not a de Polignac number, because 1975995 - 22 = 1975991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nude number because it is divisible by every one of its digits.

1975995 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 1975995.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1975991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48175 + ... + 48215.

21975995 is an apocalyptic number.

1975995 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1975995 is an abundant number, since it is smaller than the sum of its proper divisors (2414853).

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

1975995 is a wasteful number, since it uses less digits than its factorization.

1975995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 73 counting only the distinct ones).

The product of its digits is 127575, while the sum is 45.

The square root of 1975995 is about 1405.7008927933. The cubic root of 1975995 is about 125.4860013063.

The spelling of 1975995 in words is "one million, nine hundred seventy-five thousand, nine hundred ninety-five".

Divisors: 1 3 5 7 9 15 17 21 27 35 41 45 51 63 81 85 105 119 123 135 153 189 205 255 287 315 357 369 405 459 567 595 615 697 765 861 945 1071 1107 1377 1435 1785 1845 2091 2295 2583 2835 3213 3321 3485 4305 4879 5355 5535 6273 6885 7749 9639 10455 12915 14637 16065 16605 18819 23247 24395 31365 38745 43911 48195 56457 73185 94095 116235 131733 219555 282285 395199 658665 1975995