Search a number
-
+
13282834080 = 2535131211241
BaseRepresentation
bin11000101111011011…
…11111011010100000
31021021200222212212210
430113231333122200
5204200401142310
610034013122120
7650106140535
oct142755773240
937250885783
1013282834080
1156a68a492a
1226a8489340
131338b6c349
14900150d8c
1552b1be820
hex317b7f6a0

13282834080 has 96 divisors (see below), whose sum is σ = 42160523328. Its totient is φ = 3515033600.

The previous prime is 13282834007. The next prime is 13282834087. The reversal of 13282834080 is 8043828231.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (13282834087) 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, 42741 + ... + 168500.

It is an arithmetic number, because the mean of its divisors is an integer number (439172118).

Almost surely, 213282834080 is an apocalyptic number.

13282834080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13282834080 is an abundant number, since it is smaller than the sum of its proper divisors (28877689248).

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

13282834080 is a wasteful number, since it uses less digits than its factorization.

13282834080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211390 (or 211382 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 13282834080 in words is "thirteen billion, two hundred eighty-two million, eight hundred thirty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 131 160 240 262 393 480 524 655 786 1048 1310 1572 1965 2096 2620 3144 3930 4192 5240 6288 7860 10480 12576 15720 20960 31440 62880 211241 422482 633723 844964 1056205 1267446 1689928 2112410 2534892 3168615 3379856 4224820 5069784 6337230 6759712 8449640 10139568 12674460 16899280 20279136 25348920 27672571 33798560 50697840 55345142 83017713 101395680 110690284 138362855 166035426 221380568 276725710 332070852 415088565 442761136 553451420 664141704 830177130 885522272 1106902840 1328283408 1660354260 2213805680 2656566816 3320708520 4427611360 6641417040 13282834080