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36140416 = 271337587
BaseRepresentation
bin1000100111011…
…1010110000000
32112000010022221
42021313112000
533222443131
63330340424
7616121434
oct211672600
975003287
1036140416
1119444914
121012a714
137644b80
144b2a9c4
15328d411
hex2277580

36140416 has 64 divisors (see below), whose sum is σ = 79768080. Its totient is φ = 16201728.

The previous prime is 36140407. The next prime is 36140431. The reversal of 36140416 is 61404163.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×361404162 = 2612259337306112, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 61275 + ... + 61861.

Almost surely, 236140416 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 36140416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39884040).

36140416 is an abundant number, since it is smaller than the sum of its proper divisors (43627664).

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

36140416 is a wasteful number, since it uses less digits than its factorization.

36140416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 36140416 is about 6011.6899454313. The cubic root of 36140416 is about 330.6214674027.

Adding to 36140416 its reverse (61404163), we get a palindrome (97544579).

The spelling of 36140416 in words is "thirty-six million, one hundred forty thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 208 296 416 481 587 592 832 962 1174 1184 1664 1924 2348 2368 3848 4696 4736 7631 7696 9392 15262 15392 18784 21719 30524 30784 37568 43438 61048 61568 75136 86876 122096 173752 244192 282347 347504 488384 564694 695008 976768 1129388 1390016 2258776 2780032 4517552 9035104 18070208 36140416