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1457245840 = 245107170239
BaseRepresentation
bin101011011011011…
…1100111010010000
310202120001202111011
41112312330322100
510441023331330
6400333500304
751053246101
oct12666747220
93676052434
101457245840
11688639406
12348041694
131a2ba2c5b
14db7743a8
1587e0182a
hex56dbce90

1457245840 has 40 divisors (see below), whose sum is σ = 3419781120. Its totient is φ = 577447296.

The previous prime is 1457245817. The next prime is 1457245871. The reversal of 1457245840 is 485427541.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1457245793 and 1457245802.

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 7 ways as a sum of consecutive naturals, for example, 76560 + ... + 93679.

It is an arithmetic number, because the mean of its divisors is an integer number (85494528).

Almost surely, 21457245840 is an apocalyptic number.

1457245840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1457245840 is an abundant number, since it is smaller than the sum of its proper divisors (1962535280).

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

1457245840 is a wasteful number, since it uses less digits than its factorization.

1457245840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170359 (or 170353 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 40.

The square root of 1457245840 is about 38173.8895057865. The cubic root of 1457245840 is about 1133.7334004742.

The spelling of 1457245840 in words is "one billion, four hundred fifty-seven million, two hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 428 535 856 1070 1712 2140 4280 8560 170239 340478 680956 851195 1361912 1702390 2723824 3404780 6809560 13619120 18215573 36431146 72862292 91077865 145724584 182155730 291449168 364311460 728622920 1457245840