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1427424240 = 243511540691
BaseRepresentation
bin101010100010100…
…1100001111110000
310200110221122221110
41111011030033300
510410410033430
6353350353320
750241622464
oct12505141760
93613848843
101427424240
1167281aa60
1233a05b840
13199961238
14d78104a4
15854b07b0
hex5514c3f0

1427424240 has 80 divisors (see below), whose sum is σ = 4827298176. Its totient is φ = 346041600.

The previous prime is 1427424179. The next prime is 1427424253. The reversal of 1427424240 is 424247241.

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 = 1427424198 and 1427424207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267706 + ... + 272985.

Almost surely, 21427424240 is an apocalyptic number.

1427424240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1427424240 is an abundant number, since it is smaller than the sum of its proper divisors (3399873936).

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

1427424240 is a wasteful number, since it uses less digits than its factorization.

1427424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540718 (or 540712 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 30.

The square root of 1427424240 is about 37781.2683746854. The cubic root of 1427424240 is about 1125.9463286813.

The spelling of 1427424240 in words is "one billion, four hundred twenty-seven million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 540691 1081382 1622073 2162764 2703455 3244146 4325528 5406910 5947601 6488292 8110365 8651056 10813820 11895202 12976584 16220730 17842803 21627640 23790404 25953168 29738005 32441460 35685606 43255280 47580808 59476010 64882920 71371212 89214015 95161616 118952020 129765840 142742424 178428030 237904040 285484848 356856060 475808080 713712120 1427424240