Search a number
-
+
146623260 = 22357596197
BaseRepresentation
bin10001011110101…
…00101100011100
3101012220020022010
420233110230130
5300013421020
622314351220
73430164030
oct1057245434
9335806263
10146623260
1175846253
124112b510
13244b8c34
141568a1c0
15cd13de0
hex8bd4b1c

146623260 has 192 divisors, whose sum is σ = 489968640. Its totient is φ = 32071680.

The previous prime is 146623241. The next prime is 146623261. The reversal of 146623260 is 62326641.

146623260 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146623261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1511532 + ... + 1511628.

It is an arithmetic number, because the mean of its divisors is an integer number (2551920).

Almost surely, 2146623260 is an apocalyptic number.

146623260 is a gapful number since it is divisible by the number (10) 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 146623260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244984320).

146623260 is an abundant number, since it is smaller than the sum of its proper divisors (343345380).

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

146623260 is a wasteful number, since it uses less digits than its factorization.

146623260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 146623260 is about 12108.8091900071. The cubic root of 146623260 is about 527.3119625075.

The spelling of 146623260 in words is "one hundred forty-six million, six hundred twenty-three thousand, two hundred sixty".