Search a number
-
+
36048240 = 243455563
BaseRepresentation
bin1000100110000…
…0110101110000
32111211102220000
42021200311300
533212020430
63324350000
7615255624
oct211406560
974742800
1036048240
1119391638
12100a5300
137611c27
144b05184
153270e60
hex2260d70

36048240 has 100 divisors (see below), whose sum is σ = 125223384. Its totient is φ = 9611136.

The previous prime is 36048209. The next prime is 36048251. The reversal of 36048240 is 4284063.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3699 + ... + 9261.

Almost surely, 236048240 is an apocalyptic number.

36048240 is a gapful number since it is divisible by the number (30) 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 36048240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62611692).

36048240 is an abundant number, since it is smaller than the sum of its proper divisors (89175144).

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

36048240 is a wasteful number, since it uses less digits than its factorization.

36048240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5588 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 36048240 is about 6004.0186542015. The cubic root of 36048240 is about 330.3401451451.

The spelling of 36048240 in words is "thirty-six million, forty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 5563 6480 11126 16689 22252 27815 33378 44504 50067 55630 66756 83445 89008 100134 111260 133512 150201 166890 200268 222520 250335 267024 300402 333780 400536 445040 450603 500670 600804 667560 751005 801072 901206 1001340 1201608 1335120 1502010 1802412 2002680 2253015 2403216 3004020 3604824 4005360 4506030 6008040 7209648 9012060 12016080 18024120 36048240