Search a number
-
+
1301122896 = 243434431423
BaseRepresentation
bin100110110001101…
…1000111101010000
310100200021220001220
41031203120331100
510131041413041
6333035325040
744146235133
oct11543307520
93320256056
101301122896
116084a4987
123038b0780
1317973c108
14c4b3421a
1579362d66
hex4d8d8f50

1301122896 has 80 divisors (see below), whose sum is σ = 3449588736. Its totient is φ = 422368128.

The previous prime is 1301122891. The next prime is 1301122909. The reversal of 1301122896 is 6982211031.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301122891) 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, 913641 + ... + 915063.

Almost surely, 21301122896 is an apocalyptic number.

1301122896 is a gapful number since it is divisible by the number (16) 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 1301122896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724794368).

1301122896 is an abundant number, since it is smaller than the sum of its proper divisors (2148465840).

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

1301122896 is a wasteful number, since it uses less digits than its factorization.

1301122896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 1301122896 is about 36071.0811592888. The cubic root of 1301122896 is about 1091.7070287066.

The spelling of 1301122896 in words is "one billion, three hundred one million, one hundred twenty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 443 516 688 886 1032 1329 1423 1772 2064 2658 2846 3544 4269 5316 5692 7088 8538 10632 11384 17076 19049 21264 22768 34152 38098 57147 61189 68304 76196 114294 122378 152392 183567 228588 244756 304784 367134 457176 489512 630389 734268 914352 979024 1260778 1468536 1891167 2521556 2937072 3782334 5043112 7564668 10086224 15129336 27106727 30258672 54213454 81320181 108426908 162640362 216853816 325280724 433707632 650561448 1301122896