Search a number
-
+
1457271140 = 2251310951421
BaseRepresentation
bin101011011011100…
…0011000101100100
310202120010001012012
41112313003011210
510441030134030
6400334213352
751053412623
oct12667030544
93676101165
101457271140
11688656416
12348054258
131a2bb1620
14db77d6ba
1587e09095
hex56dc3164

1457271140 has 48 divisors (see below), whose sum is σ = 3325974960. Its totient is φ = 533122560.

The previous prime is 1457271131. The next prime is 1457271163. The reversal of 1457271140 is 411727541.

It can be written as a sum of positive squares in 8 ways, for example, as 17372224 + 1439898916 = 4168^2 + 37946^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1457271097 and 1457271106.

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, 2630 + ... + 54050.

It is an arithmetic number, because the mean of its divisors is an integer number (69291145).

Almost surely, 21457271140 is an apocalyptic number.

1457271140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1457271140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662987480).

1457271140 is an abundant number, since it is smaller than the sum of its proper divisors (1868703820).

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

1457271140 is a wasteful number, since it uses less digits than its factorization.

1457271140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51552 (or 51550 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 1457271140 is about 38174.2208826847. The cubic root of 1457271140 is about 1133.7399615472.

Adding to 1457271140 its reverse (411727541), we get a palindrome (1868998681).

The spelling of 1457271140 in words is "one billion, four hundred fifty-seven million, two hundred seventy-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 109 130 218 260 436 545 1090 1417 2180 2834 5668 7085 14170 28340 51421 102842 205684 257105 514210 668473 1028420 1336946 2673892 3342365 5604889 6684730 11209778 13369460 22419556 28024445 56048890 72863557 112097780 145727114 291454228 364317785 728635570 1457271140