Search a number
-
+
1427685300 = 2232524493533
BaseRepresentation
bin101010100011000…
…1011111110110100
310200111102221001100
41111012023332310
510410441412200
6353400130100
750244060546
oct12506137664
93614387040
101427685300
11672989108
1233a166930
13199a23002
14d787b696
1585512d00
hex5518bfb4

1427685300 has 108 divisors (see below), whose sum is σ = 4486236300. Its totient is φ = 379760640.

The previous prime is 1427685299. The next prime is 1427685319. The reversal of 1427685300 is 35867241.

1427685300 is a `hidden beast` number, since 1 + 4 + 276 + 85 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10614564 + 1417070736 = 3258^2 + 37644^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 402334 + ... + 405866.

It is an arithmetic number, because the mean of its divisors is an integer number (41539225).

Almost surely, 21427685300 is an apocalyptic number.

1427685300 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 1427685300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243118150).

1427685300 is an abundant number, since it is smaller than the sum of its proper divisors (3058551000).

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

1427685300 is a wasteful number, since it uses less digits than its factorization.

1427685300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1427685300 is about 37784.7231033919. The cubic root of 1427685300 is about 1126.0149655128.

The spelling of 1427685300 in words is "one billion, four hundred twenty-seven million, six hundred eighty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 449 450 898 900 1347 1796 2245 2694 3533 4041 4490 5388 6735 7066 8082 8980 10599 11225 13470 14132 16164 17665 20205 21198 22450 26940 31797 33675 35330 40410 42396 44900 52995 63594 67350 70660 80820 88325 101025 105990 127188 134700 158985 176650 202050 211980 264975 317970 353300 404100 529950 635940 794925 1059900 1586317 1589850 3172634 3179700 4758951 6345268 7931585 9517902 14276853 15863170 19035804 23794755 28553706 31726340 39657925 47589510 57107412 71384265 79315850 95179020 118973775 142768530 158631700 237947550 285537060 356921325 475895100 713842650 1427685300