Search a number
-
+
3195972 = 2232136829
BaseRepresentation
bin1100001100010001000100
320000101001100
430030101010
51304232342
6152300100
736110463
oct14142104
96011040
103195972
1118931aa
1210a1630
1387b910
145d29da
15431e4c
hex30c444

3195972 has 36 divisors (see below), whose sum is σ = 8701420. Its totient is φ = 983232.

The previous prime is 3195961. The next prime is 3195977. The reversal of 3195972 is 2795913.

It can be written as a sum of positive squares in 2 ways, for example, as 1052676 + 2143296 = 1026^2 + 1464^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3195977) 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 11 ways as a sum of consecutive naturals, for example, 2947 + ... + 3882.

Almost surely, 23195972 is an apocalyptic number.

It is an amenable number.

3195972 is an abundant number, since it is smaller than the sum of its proper divisors (5505448).

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

3195972 is a wasteful number, since it uses less digits than its factorization.

3195972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6852 (or 6847 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 3195972 is about 1787.7281672559. The cubic root of 3195972 is about 147.2994036558.

The spelling of 3195972 in words is "three million, one hundred ninety-five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 6829 13658 20487 27316 40974 61461 81948 88777 122922 177554 245844 266331 355108 532662 798993 1065324 1597986 3195972