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1972660 = 225531861
BaseRepresentation
bin111100001100110110100
310201012222111
413201212310
51001111120
6110140404
722524124
oct7414664
93635874
101972660
1111280a8
127b1704
13540b71
14394c84
1528e75a
hex1e19b4

1972660 has 24 divisors (see below), whose sum is σ = 4223016. Its totient is φ = 773760.

The previous prime is 1972657. The next prime is 1972669. The reversal of 1972660 is 662791.

It can be written as a sum of positive squares in 4 ways, for example, as 7056 + 1965604 = 84^2 + 1402^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972669) 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 7 ways as a sum of consecutive naturals, for example, 130 + ... + 1990.

It is an arithmetic number, because the mean of its divisors is an integer number (175959).

21972660 is an apocalyptic number.

1972660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1972660 is an abundant number, since it is smaller than the sum of its proper divisors (2250356).

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

1972660 is a wasteful number, since it uses less digits than its factorization.

1972660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 1972660 is about 1404.5141508721. The cubic root of 1972660 is about 125.4153649138.

The spelling of 1972660 in words is "one million, nine hundred seventy-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 1861 3722 7444 9305 18610 37220 98633 197266 394532 493165 986330 1972660