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36052240 = 2457217541
BaseRepresentation
bin1000100110000…
…1110100010000
32111211122101011
42021201310100
533212132430
63324420304
7615303400
oct211416420
974748334
1036052240
1119394644
12100a7694
1376139b3
144b06800
15327222a
hex2261d10

36052240 has 120 divisors (see below), whose sum is σ = 103433112. Its totient is φ = 11612160.

The previous prime is 36052229. The next prime is 36052271. The reversal of 36052240 is 4225063.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5934096 + 30118144 = 2436^2 + 5488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66370 + ... + 66910.

Almost surely, 236052240 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 36052240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51716556).

36052240 is an abundant number, since it is smaller than the sum of its proper divisors (67380872).

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

36052240 is a wasteful number, since it uses less digits than its factorization.

36052240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 36052240 is about 6004.3517551856. The cubic root of 36052240 is about 330.3523631407.

The spelling of 36052240 in words is "thirty-six million, fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 49 56 68 70 80 85 98 112 119 136 140 170 196 238 245 272 280 340 392 476 490 541 560 595 680 784 833 952 980 1082 1190 1360 1666 1904 1960 2164 2380 2705 3332 3787 3920 4165 4328 4760 5410 6664 7574 8330 8656 9197 9520 10820 13328 15148 16660 18394 18935 21640 26509 30296 33320 36788 37870 43280 45985 53018 60592 64379 66640 73576 75740 91970 106036 128758 132545 147152 151480 183940 212072 257516 265090 302960 321895 367880 424144 450653 515032 530180 643790 735760 901306 1030064 1060360 1287580 1802612 2120720 2253265 2575160 3605224 4506530 5150320 7210448 9013060 18026120 36052240