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36140420 = 2253171821
BaseRepresentation
bin1000100111011…
…1010110000100
32112000010100002
42021313112010
533222443140
63330340432
7616121441
oct211672604
975003302
1036140420
1119444918
121012a718
137644b84
144b2a9c8
15328d415
hex2277584

36140420 has 48 divisors (see below), whose sum is σ = 79543296. Its totient is φ = 13776000.

The previous prime is 36140407. The next prime is 36140431. The reversal of 36140420 is 2404163.

It is a happy number.

It is a super-2 number, since 2×361404202 = 2612259915552800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 36140392 and 36140401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43610 + ... + 44430.

It is an arithmetic number, because the mean of its divisors is an integer number (1657152).

Almost surely, 236140420 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 36140420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39771648).

36140420 is an abundant number, since it is smaller than the sum of its proper divisors (43402876).

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

36140420 is a wasteful number, since it uses less digits than its factorization.

36140420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 36140420 is about 6011.6902781165. The cubic root of 36140420 is about 330.6214796004.

Adding to 36140420 its reverse (2404163), we get a palindrome (38544583).

The spelling of 36140420 in words is "thirty-six million, one hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 71 124 142 155 284 310 355 620 710 821 1420 1642 2201 3284 4105 4402 8210 8804 11005 16420 22010 25451 44020 50902 58291 101804 116582 127255 233164 254510 291455 509020 582910 1165820 1807021 3614042 7228084 9035105 18070210 36140420