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36140104 = 23711134513
BaseRepresentation
bin1000100111011…
…1010001001000
32112000002220101
42021313101020
533222440404
63330335144
7616120510
oct211672110
975002811
1036140104
1119444660
121012a4b4
1376449a0
144b2a840
15328d2a4
hex2277448

36140104 has 64 divisors (see below), whose sum is σ = 91002240. Its totient is φ = 12994560.

The previous prime is 36140077. The next prime is 36140131. The reversal of 36140104 is 40104163.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36140077) and next prime (36140131).

It is a super-2 number, since 2×361401042 = 2612214234261632, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5752 + ... + 10264.

It is an arithmetic number, because the mean of its divisors is an integer number (1421910).

Almost surely, 236140104 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 36140104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45501120).

36140104 is an abundant number, since it is smaller than the sum of its proper divisors (54862136).

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

36140104 is a wasteful number, since it uses less digits than its factorization.

36140104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4550 (or 4546 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 36140104 is about 6011.6639959332. The cubic root of 36140104 is about 330.6205159822.

Adding to 36140104 its reverse (40104163), we get a palindrome (76244267).

The spelling of 36140104 in words is "thirty-six million, one hundred forty thousand, one hundred four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 4513 8008 9026 18052 31591 36104 49643 58669 63182 99286 117338 126364 198572 234676 252728 347501 397144 410683 469352 645359 695002 821366 1290718 1390004 1642732 2581436 2780008 3285464 4517513 5162872 9035026 18070052 36140104