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36752040 = 23325137853
BaseRepresentation
bin1000110000110…
…0101010101000
32120011012022200
42030030222220
533402031130
63351420200
7624246543
oct214145250
976135280
1036752040
1119822396
1210384660
1377ca390
144c4985a
15335e760
hex230caa8

36752040 has 96 divisors (see below), whose sum is σ = 128648520. Its totient is φ = 9045504.

The previous prime is 36752021. The next prime is 36752047. The reversal of 36752040 is 4025763.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11410884 + 25341156 = 3378^2 + 5034^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36751995 and 36752013.

It is not an unprimeable number, because it can be changed into a prime (36752047) 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, 754 + ... + 8606.

Almost surely, 236752040 is an apocalyptic number.

36752040 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 36752040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64324260).

36752040 is an abundant number, since it is smaller than the sum of its proper divisors (91896480).

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

36752040 is a wasteful number, since it uses less digits than its factorization.

36752040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7883 (or 7876 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 36752040 is about 6062.3460805203. The cubic root of 36752040 is about 332.4761397694.

The spelling of 36752040 in words is "thirty-six million, seven hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 7853 15706 23559 31412 39265 47118 62824 70677 78530 94236 102089 117795 141354 157060 188472 204178 235590 282708 306267 314120 353385 408356 471180 510445 565416 612534 706770 816712 918801 942360 1020890 1225068 1413540 1531335 1837602 2041780 2450136 2827080 3062670 3675204 4083560 4594005 6125340 7350408 9188010 12250680 18376020 36752040