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1975029920 = 25529425653
BaseRepresentation
bin111010110111000…
…1001000010100000
312002122100220201022
41311232021002200
513021101424140
6523551425012
766641322503
oct16556110240
95078326638
101975029920
11923942236
12471525168
13256243976
1414a43913a
15b85ce0b5
hex75b890a0

1975029920 has 48 divisors (see below), whose sum is σ = 4826916360. Its totient is φ = 762768384.

The previous prime is 1975029913. The next prime is 1975029929. The reversal of 1975029920 is 299205791.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1798777744 + 176252176 = 42412^2 + 13276^2 .

It is not an unprimeable number, because it can be changed into a prime (1975029929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208187 + ... + 217466.

Almost surely, 21975029920 is an apocalyptic number.

1975029920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1975029920 is an abundant number, since it is smaller than the sum of its proper divisors (2851886440).

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

1975029920 is a wasteful number, since it uses less digits than its factorization.

1975029920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425697 (or 425689 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 44.

The square root of 1975029920 is about 44441.3087116030. The cubic root of 1975029920 is about 1254.6556877291.

The spelling of 1975029920 in words is "one billion, nine hundred seventy-five million, twenty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 425653 851306 1702612 2128265 3405224 4256530 6810448 8513060 12343937 13620896 17026120 24687874 34052240 49375748 61719685 68104480 98751496 123439370 197502992 246878740 395005984 493757480 987514960 1975029920