Search a number
-
+
1355785240 = 23540998269
BaseRepresentation
bin101000011001111…
…1010010000011000
310111111011000201011
41100303322100120
510234040111430
6342311103304
745411661435
oct12063722030
93444130634
101355785240
1163633a577
1231a071b34
13187b6a6b4
14cc0c2b8c
157e05e22a
hex50cfa418

1355785240 has 32 divisors (see below), whose sum is σ = 3051630000. Its totient is φ = 542116224.

The previous prime is 1355785231. The next prime is 1355785243. The reversal of 1355785240 is 425875531.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1355785193 and 1355785202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355785243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159826 + ... + 168094.

Almost surely, 21355785240 is an apocalyptic number.

1355785240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1355785240 is an abundant number, since it is smaller than the sum of its proper divisors (1695844760).

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

1355785240 is a wasteful number, since it uses less digits than its factorization.

1355785240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12379 (or 12375 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The square root of 1355785240 is about 36820.9891230532. The cubic root of 1355785240 is about 1106.7859410000.

The spelling of 1355785240 in words is "one billion, three hundred fifty-five million, seven hundred eighty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 4099 8198 8269 16396 16538 20495 32792 33076 40990 41345 66152 81980 82690 163960 165380 330760 33894631 67789262 135578524 169473155 271157048 338946310 677892620 1355785240