Search a number
-
+
1350135280 = 245137916433
BaseRepresentation
bin101000001111001…
…0110110111110000
310111002111222102101
41100132112313300
510231113312110
6341550030144
745312650314
oct12036266760
93432458371
101350135280
1163313068a
123181a8354
1318693cb20
14cb451b44
157d7e513a
hex50796df0

1350135280 has 80 divisors (see below), whose sum is σ = 3423530880. Its totient is φ = 492171264.

The previous prime is 1350135271. The next prime is 1350135287. The reversal of 1350135280 is 825310531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350135287) 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, 73944 + ... + 90376.

It is an arithmetic number, because the mean of its divisors is an integer number (42794136).

Almost surely, 21350135280 is an apocalyptic number.

1350135280 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 1350135280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711765440).

1350135280 is an abundant number, since it is smaller than the sum of its proper divisors (2073395600).

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

1350135280 is a wasteful number, since it uses less digits than its factorization.

1350135280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16538 (or 16532 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 1350135280 is about 36744.1870232558. The cubic root of 1350135280 is about 1105.2463650836.

The spelling of 1350135280 in words is "one billion, three hundred fifty million, one hundred thirty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 79 80 104 130 158 208 260 316 395 520 632 790 1027 1040 1264 1580 2054 3160 4108 5135 6320 8216 10270 16432 16433 20540 32866 41080 65732 82160 82165 131464 164330 213629 262928 328660 427258 657320 854516 1068145 1298207 1314640 1709032 2136290 2596414 3418064 4272580 5192828 6491035 8545160 10385656 12982070 16876691 17090320 20771312 25964140 33753382 51928280 67506764 84383455 103856560 135013528 168766910 270027056 337533820 675067640 1350135280