Search a number
-
+
146803860 = 22335771547
BaseRepresentation
bin10001100000000…
…00110010010100
3101020020102001000
420300000302110
5300040210420
622322303300
73431545410
oct1060006224
9336212030
10146803860
1175959a05
12411b7b30
13245501b8
14156d5d40
15cd4c690
hex8c00c94

146803860 has 192 divisors, whose sum is σ = 530288640. Its totient is φ = 33022080.

The previous prime is 146803847. The next prime is 146803907. The reversal of 146803860 is 68308641.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 268107 + ... + 268653.

It is an arithmetic number, because the mean of its divisors is an integer number (2761920).

Almost surely, 2146803860 is an apocalyptic number.

146803860 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 146803860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265144320).

146803860 is an abundant number, since it is smaller than the sum of its proper divisors (383484780).

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

146803860 is a wasteful number, since it uses less digits than its factorization.

146803860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 146803860 is about 12116.2642757576. The cubic root of 146803860 is about 527.5283753444.

The spelling of 146803860 in words is "one hundred forty-six million, eight hundred three thousand, eight hundred sixty".