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1426056240 = 24357848843
BaseRepresentation
bin101010011111111…
…1110010000110000
310200101101011101210
41110333332100300
510410032244430
6353301200120
750224164240
oct12477762060
93611334353
101426056240
11671a76184
12339700040
131995a267b
14d7575b20
15852e02b0
hex54ffe430

1426056240 has 80 divisors (see below), whose sum is σ = 5052319488. Its totient is φ = 325955328.

The previous prime is 1426056223. The next prime is 1426056259. The reversal of 1426056240 is 426506241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1426056198 and 1426056207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422742 + ... + 426101.

Almost surely, 21426056240 is an apocalyptic number.

1426056240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1426056240 is an abundant number, since it is smaller than the sum of its proper divisors (3626263248).

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

1426056240 is a wasteful number, since it uses less digits than its factorization.

1426056240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848866 (or 848860 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1426056240 is about 37763.1598254172. The cubic root of 1426056240 is about 1125.5865228031.

It can be divided in two parts, 14260 and 56240, that added together give a triangular number (70500 = T375).

The spelling of 1426056240 in words is "one billion, four hundred twenty-six million, fifty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 848843 1697686 2546529 3395372 4244215 5093058 5941901 6790744 8488430 10186116 11883802 12732645 13581488 16976860 17825703 20372232 23767604 25465290 29709505 33953720 35651406 40744464 47535208 50930580 59419010 67907440 71302812 89128515 95070416 101861160 118838020 142605624 178257030 203722320 237676040 285211248 356514060 475352080 713028120 1426056240