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36126220 = 225131971103
BaseRepresentation
bin1000100111001…
…1111000001100
32111222101212011
42021303320030
533222014340
63330151004
7616032154
oct211637014
974871764
1036126220
1119435189
1210122464
13763b580
144b25764
1532890ea
hex2273e0c

36126220 has 96 divisors (see below), whose sum is σ = 88058880. Its totient is φ = 12337920.

The previous prime is 36126187. The next prime is 36126229. The reversal of 36126220 is 2262163.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 36126191 and 36126200.

It is not an unprimeable number, because it can be changed into a prime (36126229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350689 + ... + 350791.

It is an arithmetic number, because the mean of its divisors is an integer number (917280).

Almost surely, 236126220 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 36126220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44029440).

36126220 is an abundant number, since it is smaller than the sum of its proper divisors (51932660).

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

36126220 is a wasteful number, since it uses less digits than its factorization.

36126220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 36126220 is about 6010.5091298492. The cubic root of 36126220 is about 330.5781722266.

Adding to 36126220 its reverse (2262163), we get a palindrome (38388383).

The spelling of 36126220 in words is "thirty-six million, one hundred twenty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 71 76 95 103 130 142 190 206 247 260 284 355 380 412 494 515 710 923 988 1030 1235 1339 1349 1420 1846 1957 2060 2470 2678 2698 3692 3914 4615 4940 5356 5396 6695 6745 7313 7828 9230 9785 13390 13490 14626 17537 18460 19570 25441 26780 26980 29252 35074 36565 39140 50882 70148 73130 87685 95069 101764 127205 138947 146260 175370 190138 254410 277894 350740 380276 475345 508820 555788 694735 950690 1389470 1806311 1901380 2778940 3612622 7225244 9031555 18063110 36126220