Search a number
-
+
90195240 = 2335751627
BaseRepresentation
bin1010110000001…
…00010100101000
320021201101121110
411120010110220
5141042221430
612541110320
72143434612
oct530042450
9207641543
1090195240
1146a05023
12262583a0
13158bca85
14bd9bdb2
157db97b0
hex5604528

90195240 has 32 divisors (see below), whose sum is σ = 270586080. Its totient is φ = 24052032.

The previous prime is 90195239. The next prime is 90195253. The reversal of 90195240 is 4259109.

It is a happy number.

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 = 90195198 and 90195207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 375694 + ... + 375933.

It is an arithmetic number, because the mean of its divisors is an integer number (8455815).

Almost surely, 290195240 is an apocalyptic number.

It is an amenable number.

90195240 is an abundant number, since it is smaller than the sum of its proper divisors (180390840).

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

90195240 is a wasteful number, since it uses less digits than its factorization.

90195240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751641 (or 751637 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 90195240 is about 9497.1174574183. The cubic root of 90195240 is about 448.4642959663.

It can be divided in two parts, 901 and 95240, that added together give a triangular number (96141 = T438).

The spelling of 90195240 in words is "ninety million, one hundred ninety-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 751627 1503254 2254881 3006508 3758135 4509762 6013016 7516270 9019524 11274405 15032540 18039048 22548810 30065080 45097620 90195240