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134182580 = 22572269509
BaseRepresentation
bin1111111111101…
…11011010110100
3100100111011220012
413333313122310
5233322320310
621151555352
73216350600
oct777673264
9310434805
10134182580
11698193a4
1238b2bb58
1321a5149c
1413b6c500
15bba7c05
hex7ff76b4

134182580 has 72 divisors (see below), whose sum is σ = 329653800. Its totient is φ = 45744384.

The previous prime is 134182577. The next prime is 134182583. The reversal of 134182580 is 85281431.

It is an interprime number because it is at equal distance from previous prime (134182577) and next prime (134182583).

It can be written as a sum of positive squares in 4 ways, for example, as 6853924 + 127328656 = 2618^2 + 11284^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134182583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263366 + ... + 263874.

It is an arithmetic number, because the mean of its divisors is an integer number (4578525).

Almost surely, 2134182580 is an apocalyptic number.

134182580 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 134182580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164826900).

134182580 is an abundant number, since it is smaller than the sum of its proper divisors (195471220).

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

134182580 is a wasteful number, since it uses less digits than its factorization.

134182580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 134182580 is about 11583.7204731468. The cubic root of 134182580 is about 511.9553031050.

The spelling of 134182580 in words is "one hundred thirty-four million, one hundred eighty-two thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 269 490 509 538 980 1018 1076 1345 1883 2036 2545 2690 3563 3766 5090 5380 7126 7532 9415 10180 13181 14252 17815 18830 24941 26362 35630 37660 49882 52724 65905 71260 99764 124705 131810 136921 249410 263620 273842 498820 547684 684605 958447 1369210 1916894 2738420 3833788 4792235 6709129 9584470 13418258 19168940 26836516 33545645 67091290 134182580