Search a number
-
+
146741420 = 22578911777
BaseRepresentation
bin10001011111100…
…01100010101100
3101020010020101102
420233301202230
5300031211140
622321102232
73431165360
oct1057614254
9336106342
10146741420
1175917001
1241187978
132452a957
14156bb2a0
15cd38e15
hex8bf18ac

146741420 has 48 divisors (see below), whose sum is σ = 356166720. Its totient is φ = 49741824.

The previous prime is 146741411. The next prime is 146741423. The reversal of 146741420 is 24147641.

It is a happy number.

146741420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (146741423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6572 + ... + 18348.

It is an arithmetic number, because the mean of its divisors is an integer number (7420140).

Almost surely, 2146741420 is an apocalyptic number.

146741420 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 146741420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178083360).

146741420 is an abundant number, since it is smaller than the sum of its proper divisors (209425300).

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

146741420 is a wasteful number, since it uses less digits than its factorization.

146741420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11882 (or 11880 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 146741420 is about 12113.6872999100. The cubic root of 146741420 is about 527.4535736264.

The spelling of 146741420 in words is "one hundred forty-six million, seven hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 140 178 356 445 623 890 1246 1780 2492 3115 6230 11777 12460 23554 47108 58885 82439 117770 164878 235540 329756 412195 824390 1048153 1648780 2096306 4192612 5240765 7337071 10481530 14674142 20963060 29348284 36685355 73370710 146741420