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1424044960 = 25513684637
BaseRepresentation
bin101010011100001…
…0011001110100000
310200020120222102221
41110320103032200
510404023414320
6353150120424
750201116402
oct12470231640
93606528387
101424044960
11670922068
12338ab0114
1319904a070
14d71b0b72
15850443aa
hex54e133a0

1424044960 has 48 divisors (see below), whose sum is σ = 3623104296. Its totient is φ = 525800448.

The previous prime is 1424044907. The next prime is 1424044961. The reversal of 1424044960 is 694404241.

1424044960 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 548121744 + 875923216 = 23412^2 + 29596^2 .

It is not an unprimeable number, because it can be changed into a prime (1424044961) 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, 340239 + ... + 344398.

Almost surely, 21424044960 is an apocalyptic number.

1424044960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1424044960 is an abundant number, since it is smaller than the sum of its proper divisors (2199059336).

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

1424044960 is a wasteful number, since it uses less digits than its factorization.

1424044960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684665 (or 684657 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 1424044960 is about 37736.5202423329. The cubic root of 1424044960 is about 1125.0571059078.

The spelling of 1424044960 in words is "one billion, four hundred twenty-four million, forty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 684637 1369274 2738548 3423185 5477096 6846370 8900281 10954192 13692740 17800562 21908384 27385480 35601124 44501405 54770960 71202248 89002810 109541920 142404496 178005620 284808992 356011240 712022480 1424044960