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1972572 = 2237231021
BaseRepresentation
bin111100001100101011100
310201012212020
413201211130
51001110242
6110140140
722523640
oct7414534
93635766
101972572
111128028
127b1650
13540b04
14394c20
1528e6ec
hex1e195c

1972572 has 48 divisors (see below), whose sum is σ = 5494272. Its totient is φ = 538560.

The previous prime is 1972571. The next prime is 1972583. The reversal of 1972572 is 2752791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1422 + ... + 2442.

It is an arithmetic number, because the mean of its divisors is an integer number (114464).

21972572 is an apocalyptic number.

1972572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1972572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747136).

1972572 is an abundant number, since it is smaller than the sum of its proper divisors (3521700).

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

1972572 is a wasteful number, since it uses less digits than its factorization.

1972572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1056 counting only the distinct ones).

The product of its digits is 8820, while the sum is 33.

The square root of 1972572 is about 1404.4828229637. The cubic root of 1972572 is about 125.4134999673.

The spelling of 1972572 in words is "one million, nine hundred seventy-two thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1021 1932 2042 3063 4084 6126 7147 12252 14294 21441 23483 28588 42882 46966 70449 85764 93932 140898 164381 281796 328762 493143 657524 986286 1972572