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1239928144 = 247213192337
BaseRepresentation
bin100100111100111…
…1100110101010000
310012102010212122121
41021321330311100
510014410200034
6323011544024
742504133600
oct11171746520
93172125577
101239928144
115869a8404
122a72bb014
13169b643c0
14ba964c00
1573cc61b4
hex49e7cd50

1239928144 has 180 divisors, whose sum is σ = 3185710164. Its totient is φ = 463325184.

The previous prime is 1239928121. The next prime is 1239928159. The reversal of 1239928144 is 4418299321.

It can be written as a sum of positive squares in 2 ways, for example, as 254721600 + 985206544 = 15960^2 + 31388^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1239928144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3679144 + ... + 3679480.

Almost surely, 21239928144 is an apocalyptic number.

1239928144 is a gapful number since it is divisible by the number (14) 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 1239928144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592855082).

1239928144 is an abundant number, since it is smaller than the sum of its proper divisors (1945782020).

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

1239928144 is a wasteful number, since it uses less digits than its factorization.

1239928144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 378 counting only the distinct ones).

The product of its digits is 124416, while the sum is 43.

The square root of 1239928144 is about 35212.6134218976. The cubic root of 1239928144 is about 1074.3163185546.

The spelling of 1239928144 in words is "one billion, two hundred thirty-nine million, nine hundred twenty-eight thousand, one hundred forty-four".