Search a number
-
+
36420876 = 2232372739
BaseRepresentation
bin1000101011101…
…1110100001100
32112112101001100
42022323310030
533310432001
63340343100
7621400212
oct212736414
975471040
1036420876
11196165a8
1210244a90
13771271b
144ba0cb2
1532e6586
hex22bbd0c

36420876 has 54 divisors (see below), whose sum is σ = 94747380. Its totient is φ = 11796192.

The previous prime is 36420841. The next prime is 36420949. The reversal of 36420876 is 67802463.

36420876 is a `hidden beast` number, since 3 + 642 + 0 + 8 + 7 + 6 = 666.

36420876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 36420876.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48915 + ... + 49653.

Almost surely, 236420876 is an apocalyptic number.

36420876 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36420876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47373690).

36420876 is an abundant number, since it is smaller than the sum of its proper divisors (58326504).

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

36420876 is a wasteful number, since it uses less digits than its factorization.

36420876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 36420876 is about 6034.9710852663. The cubic root of 36420876 is about 331.4745037481.

The spelling of 36420876 in words is "thirty-six million, four hundred twenty thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 739 1332 1369 1478 2217 2738 2956 4107 4434 5476 6651 8214 8868 12321 13302 16428 24642 26604 27343 49284 54686 82029 109372 164058 246087 328116 492174 984348 1011691 2023382 3035073 4046764 6070146 9105219 12140292 18210438 36420876