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1972105452 = 223254780707
BaseRepresentation
bin111010110001011…
…1111000011101100
312002102212100002200
41311202333003230
513014324333302
6523405021500
766604422402
oct16542770354
95072770080
101972105452
11922225019
12470554890
1325575b805
14149cb7472
15b820281c
hex758bf0ec

1972105452 has 18 divisors (see below), whose sum is σ = 4985044428. Its totient is φ = 657368472.

The previous prime is 1972105427. The next prime is 1972105463. The reversal of 1972105452 is 2545012791.

1972105452 is a `hidden beast` number, since 1 + 97 + 21 + 0 + 545 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 54780707 = 1972105452 / (1 + 9 + 7 + 2 + 1 + 0 + 5 + 4 + 5 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27390318 + ... + 27390389.

Almost surely, 21972105452 is an apocalyptic number.

1972105452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1972105452 is an abundant number, since it is smaller than the sum of its proper divisors (3012938976).

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

1972105452 is a wasteful number, since it uses less digits than its factorization.

1972105452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54780717 (or 54780712 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1972105452 is about 44408.3939362819. The cubic root of 1972105452 is about 1254.0361168753.

The spelling of 1972105452 in words is "one billion, nine hundred seventy-two million, one hundred five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 54780707 109561414 164342121 219122828 328684242 493026363 657368484 986052726 1972105452