Search a number
-
+
1970975448 = 2332135367593
BaseRepresentation
bin111010101111010…
…1011001011011000
312002100201221000200
41311132223023120
513014032203243
6523324502200
766562005051
oct16536531330
95070657020
101970975448
11921623032
124700aa960
13255454380
14149aa1728
15b807cad3
hex757ab2d8

1970975448 has 192 divisors, whose sum is σ = 5954588640. Its totient is φ = 585142272.

The previous prime is 1970975441. The next prime is 1970975467. The reversal of 1970975448 is 8445790791.

1970975448 is a `hidden beast` number, since 1 + 9 + 7 + 0 + 97 + 544 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1970975394 and 1970975403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1970975441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3323440 + ... + 3324032.

Almost surely, 21970975448 is an apocalyptic number.

1970975448 is a gapful number since it is divisible by the number (18) 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 1970975448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977294320).

1970975448 is an abundant number, since it is smaller than the sum of its proper divisors (3983613192).

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

1970975448 is a wasteful number, since it uses less digits than its factorization.

1970975448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The square root of 1970975448 is about 44395.6692482499. The cubic root of 1970975448 is about 1253.7965528483.

The spelling of 1970975448 in words is "one billion, nine hundred seventy million, nine hundred seventy-five thousand, four hundred forty-eight".