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1240083920 = 24515501049
BaseRepresentation
bin100100111101010…
…0010110111010000
310012102102210100002
41021322202313100
510014430141140
6323015145132
742505353005
oct11172426720
93172383302
101240083920
11586aa4449
122a73751a8
13169bba28a
14ba9a58ac
1573d07415
hex49ea2dd0

1240083920 has 20 divisors (see below), whose sum is σ = 2883195300. Its totient is φ = 496033536.

The previous prime is 1240083919. The next prime is 1240083931. The reversal of 1240083920 is 293800421.

It can be written as a sum of positive squares in 2 ways, for example, as 138109504 + 1101974416 = 11752^2 + 33196^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×12400839203 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7750445 + ... + 7750604.

It is an arithmetic number, because the mean of its divisors is an integer number (144159765).

Almost surely, 21240083920 is an apocalyptic number.

1240083920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1240083920 is an abundant number, since it is smaller than the sum of its proper divisors (1643111380).

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

1240083920 is a wasteful number, since it uses less digits than its factorization.

1240083920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15501062 (or 15501056 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 1240083920 is about 35214.8252870861. The cubic root of 1240083920 is about 1074.3613065624.

The spelling of 1240083920 in words is "one billion, two hundred forty million, eighty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 15501049 31002098 62004196 77505245 124008392 155010490 248016784 310020980 620041960 1240083920