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249987060 = 22345154313
BaseRepresentation
bin11101110011001…
…11111111110100
3122102101122210000
432321213333310
51002444041220
640450031300
76123566151
oct1671477764
9572348700
10249987060
11119124a84
126b878530
133ca3984b
14252b5228
1516e30390
hexee67ff4

249987060 has 60 divisors (see below), whose sum is σ = 784223748. Its totient is φ = 66662784.

The previous prime is 249987053. The next prime is 249987097. The reversal of 249987060 is 60789942.

It is a happy number.

249987060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 52359696 + 197627364 = 7236^2 + 14058^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 249986997 and 249987015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 75537 + ... + 78776.

Almost surely, 2249987060 is an apocalyptic number.

249987060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249987060 is an abundant number, since it is smaller than the sum of its proper divisors (534236688).

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

249987060 is a wasteful number, since it uses less digits than its factorization.

249987060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154334 (or 154323 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 249987060 is about 15810.9790968175. The cubic root of 249987060 is about 629.9496558410.

The spelling of 249987060 in words is "two hundred forty-nine million, nine hundred eighty-seven thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 154313 308626 462939 617252 771565 925878 1388817 1543130 1851756 2314695 2777634 3086260 4166451 4629390 5555268 6944085 8332902 9258780 12499353 13888170 16665804 20832255 24998706 27776340 41664510 49997412 62496765 83329020 124993530 249987060