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1457315730 = 232513295813
BaseRepresentation
bin101011011011100…
…1101111110010010
310202120012022100200
41112313031332102
510441033100410
6400335200030
751053656623
oct12667157622
93676168320
101457315730
11688686972
12348076016
131a2bc8a00
14db791a4a
1587e173c0
hex56dcdf92

1457315730 has 72 divisors (see below), whose sum is σ = 4102947108. Its totient is φ = 358720128.

The previous prime is 1457315689. The next prime is 1457315749. The reversal of 1457315730 is 375137541.

1457315730 is a `hidden beast` number, since 1 + 4 + 57 + 31 + 573 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2732409 + 1454583321 = 1653^2 + 38139^2 .

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 35 ways as a sum of consecutive naturals, for example, 32697 + ... + 63116.

Almost surely, 21457315730 is an apocalyptic number.

1457315730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1457315730 is an abundant number, since it is smaller than the sum of its proper divisors (2645631378).

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

1457315730 is a wasteful number, since it uses less digits than its factorization.

1457315730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95852 (or 95836 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 1457315730 is about 38174.8049110929. The cubic root of 1457315730 is about 1133.7515249294.

It can be divided in two parts, 14573 and 15730, that added together give a palindrome (30303).

The spelling of 1457315730 in words is "one billion, four hundred fifty-seven million, three hundred fifteen thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1690 2535 3042 5070 7605 15210 95813 191626 287439 479065 574878 862317 958130 1245569 1437195 1724634 2491138 2874390 3736707 4311585 6227845 7473414 8623170 11210121 12455690 16192397 18683535 22420242 32384794 37367070 48577191 56050605 80961985 97154382 112101210 145731573 161923970 242885955 291463146 485771910 728657865 1457315730