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1955331540 = 2232510862953
BaseRepresentation
bin111010010001011…
…1111110111010100
312001021022010121200
41310202333313110
513001031102130
6522005312500
766312021021
oct16442776724
95037263550
101955331540
11913808588
12466a05730
13252137916
1414798c548
15b69dc760
hex748bfdd4

1955331540 has 36 divisors (see below), whose sum is σ = 5931172884. Its totient is φ = 521421696.

The previous prime is 1955331527. The next prime is 1955331557. The reversal of 1955331540 is 451335591.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 403286724 + 1552044816 = 20082^2 + 39396^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1955331495 and 1955331504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5431297 + ... + 5431656.

Almost surely, 21955331540 is an apocalyptic number.

1955331540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1955331540 is an abundant number, since it is smaller than the sum of its proper divisors (3975841344).

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

1955331540 is a wasteful number, since it uses less digits than its factorization.

1955331540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10862968 (or 10862963 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 1955331540 is about 44219.1309276878. The cubic root of 1955331540 is about 1250.4705513762.

The spelling of 1955331540 in words is "one billion, nine hundred fifty-five million, three hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 10862953 21725906 32588859 43451812 54314765 65177718 97766577 108629530 130355436 162944295 195533154 217259060 325888590 391066308 488832885 651777180 977665770 1955331540