Search a number
-
+
1356098500 = 225317159541
BaseRepresentation
bin101000011010100…
…0110101111000100
310111111201221102101
41100311012233010
510234130123000
6342321521444
745414434641
oct12065065704
93444657371
101356098500
11636533969
1231a1a3284
13187c4a163
14cc164dc8
157e0c1e6a
hex50d46bc4

1356098500 has 48 divisors (see below), whose sum is σ = 3135957552. Its totient is φ = 510528000.

The previous prime is 1356098489. The next prime is 1356098501. The reversal of 1356098500 is 58906531.

It can be written as a sum of positive squares in 8 ways, for example, as 366492736 + 989605764 = 19144^2 + 31458^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1356098500.

It is not an unprimeable number, because it can be changed into a prime (1356098501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71271 + ... + 88270.

It is an arithmetic number, because the mean of its divisors is an integer number (65332449).

Almost surely, 21356098500 is an apocalyptic number.

1356098500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1356098500 is an abundant number, since it is smaller than the sum of its proper divisors (1779859052).

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

1356098500 is a wasteful number, since it uses less digits than its factorization.

1356098500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159577 (or 159565 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 1356098500 is about 36825.2427011690. The cubic root of 1356098500 is about 1106.8711769833.

The spelling of 1356098500 in words is "one billion, three hundred fifty-six million, ninety-eight thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 340 425 500 850 1700 2125 4250 8500 159541 319082 638164 797705 1595410 2712197 3190820 3988525 5424394 7977050 10848788 13560985 15954100 19942625 27121970 39885250 54243940 67804925 79770500 135609850 271219700 339024625 678049250 1356098500