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1457430420 = 2235231056109
BaseRepresentation
bin101011011011110…
…1001111110010100
310202120102010200110
41112313221332110
510441100233140
6400341443020
751054645165
oct12667517624
93676363613
101457430420
11688755056
12348110470
131a2c38c84
14db7c176c
1587e3b380
hex56de9f94

1457430420 has 48 divisors (see below), whose sum is σ = 4258235520. Its totient is φ = 371750016.

The previous prime is 1457430391. The next prime is 1457430461. The reversal of 1457430420 is 240347541.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526675 + ... + 529434.

It is an arithmetic number, because the mean of its divisors is an integer number (88713240).

Almost surely, 21457430420 is an apocalyptic number.

1457430420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1457430420 is an abundant number, since it is smaller than the sum of its proper divisors (2800805100).

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

1457430420 is a wasteful number, since it uses less digits than its factorization.

1457430420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056144 (or 1056142 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 1457430420 is about 38176.3070503159. The cubic root of 1457430420 is about 1133.7812660369.

Adding to 1457430420 its reverse (240347541), we get a palindrome (1697777961).

The spelling of 1457430420 in words is "one billion, four hundred fifty-seven million, four hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 1056109 2112218 3168327 4224436 5280545 6336654 10561090 12673308 15841635 21122180 24290507 31683270 48581014 63366540 72871521 97162028 121452535 145743042 242905070 291486084 364357605 485810140 728715210 1457430420