Search a number
-
+
1350842580 = 2232541183041
BaseRepresentation
bin101000010000100…
…0011100011010100
310111010211220122200
41100201003203110
510231303430310
6342013124500
745321654363
oct12041034324
93433756580
101350842580
1163357402a
12318489730
13186b29a49
14cb5977da
157d8d49c0
hex508438d4

1350842580 has 72 divisors (see below), whose sum is σ = 4197519144. Its totient is φ = 351436800.

The previous prime is 1350842573. The next prime is 1350842587. The reversal of 1350842580 is 852480531.

It is a happy number.

1350842580 is a `hidden beast` number, since 1 + 35 + 0 + 8 + 42 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (1350842573) and next prime (1350842587).

It can be written as a sum of positive squares in 4 ways, for example, as 46621584 + 1304220996 = 6828^2 + 36114^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350842587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84141 + ... + 98900.

It is an arithmetic number, because the mean of its divisors is an integer number (58298877).

Almost surely, 21350842580 is an apocalyptic number.

1350842580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1350842580 is an abundant number, since it is smaller than the sum of its proper divisors (2846676564).

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

1350842580 is a wasteful number, since it uses less digits than its factorization.

1350842580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183097 (or 183092 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1350842580 is about 36753.8104147039. The cubic root of 1350842580 is about 1105.4393344584.

The spelling of 1350842580 in words is "one billion, three hundred fifty million, eight hundred forty-two thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 183041 366082 549123 732164 915205 1098246 1647369 1830410 2196492 2745615 3294738 3660820 5491230 6589476 7504681 8236845 10982460 15009362 16473690 22514043 30018724 32947380 37523405 45028086 67542129 75046810 90056172 112570215 135084258 150093620 225140430 270168516 337710645 450280860 675421290 1350842580