Search a number
-
+
1146150920 = 235190115073
BaseRepresentation
bin100010001010000…
…1110000000001000
32221212200111111002
41010110032000020
54321403312140
6305421554132
740255056605
oct10424160010
92855614432
101146150920
11538a77172
1227ba15948
131535bc115
14ac3136ac
156a950415
hex4450e008

1146150920 has 32 divisors (see below), whose sum is σ = 2580367320. Its totient is φ = 458188800.

The previous prime is 1146150919. The next prime is 1146150953. The reversal of 1146150920 is 290516411.

It can be written as a sum of positive squares in 4 ways, for example, as 649128484 + 497022436 = 25478^2 + 22294^2 .

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, 68504 + ... + 83576.

Almost surely, 21146150920 is an apocalyptic number.

1146150920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1146150920 is an abundant number, since it is smaller than the sum of its proper divisors (1434216400).

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

1146150920 is a wasteful number, since it uses less digits than its factorization.

1146150920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16985 (or 16981 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 1146150920 is about 33854.8507602677. The cubic root of 1146150920 is about 1046.5193652273.

The spelling of 1146150920 in words is "one billion, one hundred forty-six million, one hundred fifty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1901 3802 7604 9505 15073 15208 19010 30146 38020 60292 75365 76040 120584 150730 301460 602920 28653773 57307546 114615092 143268865 229230184 286537730 573075460 1146150920