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36055040 = 21157503
BaseRepresentation
bin1000100110001…
…0100000000000
32111211210012212
42021202200000
533212230130
63324441252
7615314510
oct211424000
974753185
1036055040
111939675a
12100a9228
137615058
144b07840
153272e95
hex2262800

36055040 has 96 divisors (see below), whose sum is σ = 99066240. Its totient is φ = 12337152.

The previous prime is 36055013. The next prime is 36055043. The reversal of 36055040 is 4055063.

It is a super-3 number, since 3×360550403 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36054997 and 36055015.

It is not an unprimeable number, because it can be changed into a prime (36055043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71429 + ... + 71931.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 236055040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120).

36055040 is an abundant number, since it is smaller than the sum of its proper divisors (63011200).

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

36055040 is an equidigital number, since it uses as much as digits as its factorization.

36055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 36055040 is about 6004.5849148796. The cubic root of 36055040 is about 330.3609151999.

Adding to 36055040 its sum of digits (23), we get a palindrome (36055063).

The spelling of 36055040 in words is "thirty-six million, fifty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 503 512 560 640 896 1006 1024 1120 1280 1792 2012 2048 2240 2515 2560 3521 3584 4024 4480 5030 5120 7042 7168 8048 8960 10060 10240 14084 14336 16096 17605 17920 20120 28168 32192 35210 35840 40240 56336 64384 70420 71680 80480 112672 128768 140840 160960 225344 257536 281680 321920 450688 515072 563360 643840 901376 1030144 1126720 1287680 1802752 2253440 2575360 3605504 4506880 5150720 7211008 9013760 18027520 36055040