Search a number
-
+
36457140 = 2235607619
BaseRepresentation
bin1000101100010…
…0101010110100
32112121012210110
42023010222310
533313112030
63341223020
7621611016
oct213045264
975535713
1036457140
1119640875
1210261a70
137726095
144bb01b6
1533021b0
hex22c4ab4

36457140 has 24 divisors (see below), whose sum is σ = 102080160. Its totient is φ = 9721888.

The previous prime is 36457133. The next prime is 36457153. The reversal of 36457140 is 4175463.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 36457098 and 36457107.

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, 303750 + ... + 303869.

It is an arithmetic number, because the mean of its divisors is an integer number (4253340).

Almost surely, 236457140 is an apocalyptic number.

36457140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36457140 is an abundant number, since it is smaller than the sum of its proper divisors (65623020).

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

36457140 is a wasteful number, since it uses less digits than its factorization.

36457140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607631 (or 607629 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 36457140 is about 6037.9748260489. The cubic root of 36457140 is about 331.5844828345.

The spelling of 36457140 in words is "thirty-six million, four hundred fifty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 607619 1215238 1822857 2430476 3038095 3645714 6076190 7291428 9114285 12152380 18228570 36457140