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133799860 = 22517974057
BaseRepresentation
bin1111111100110…
…01111110110100
3100022202201220101
413332121332310
5233223043420
621135443444
73213165025
oct776317664
9308681811
10133799860
11695878a7
1238986584
132194921c
1413aacc4c
15bb2e60a
hex7f99fb4

133799860 has 48 divisors (see below), whose sum is σ = 300649104. Its totient is φ = 49840128.

The previous prime is 133799857. The next prime is 133799879. The reversal of 133799860 is 68997331.

It can be written as a sum of positive squares in 8 ways, for example, as 443556 + 133356304 = 666^2 + 11548^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 133799860.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30952 + ... + 35008.

It is an arithmetic number, because the mean of its divisors is an integer number (6263523).

Almost surely, 2133799860 is an apocalyptic number.

133799860 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 133799860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150324552).

133799860 is an abundant number, since it is smaller than the sum of its proper divisors (166849244).

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

133799860 is a wasteful number, since it uses less digits than its factorization.

133799860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 46.

The square root of 133799860 is about 11567.1889411386. The cubic root of 133799860 is about 511.4681009809.

The spelling of 133799860 in words is "one hundred thirty-three million, seven hundred ninety-nine thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 97 170 194 340 388 485 970 1649 1940 3298 4057 6596 8114 8245 16228 16490 20285 32980 40570 68969 81140 137938 275876 344845 393529 689690 787058 1379380 1574116 1967645 3935290 6689993 7870580 13379986 26759972 33449965 66899930 133799860