Search a number
-
+
145916560 = 2451823957
BaseRepresentation
bin10001011001010…
…00001010010000
3101011120022220001
420230220022100
5244323312220
622251255344
73421161466
oct1054501220
9334508801
10145916560
11754032a9
1240a4a554
13242cc37a
1415544836
15cc2480a
hex8b28290

145916560 has 20 divisors (see below), whose sum is σ = 339256188. Its totient is φ = 58366592.

The previous prime is 145916549. The next prime is 145916569. The reversal of 145916560 is 65619541.

It can be written as a sum of positive squares in 2 ways, for example, as 62157456 + 83759104 = 7884^2 + 9152^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (145916569) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 911899 + ... + 912058.

Almost surely, 2145916560 is an apocalyptic number.

145916560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145916560 is an abundant number, since it is smaller than the sum of its proper divisors (193339628).

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

145916560 is a wasteful number, since it uses less digits than its factorization.

145916560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823970 (or 1823964 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 145916560 is about 12079.5927083656. The cubic root of 145916560 is about 526.4634121063.

The spelling of 145916560 in words is "one hundred forty-five million, nine hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1823957 3647914 7295828 9119785 14591656 18239570 29183312 36479140 72958280 145916560