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146760768 = 26337111103
BaseRepresentation
bin10001011111101…
…10010001000000
3101020011012221000
420233312101000
5300032321033
622321332000
73431305650
oct1057662100
9336135830
10146760768
117592a5a0
1241197000
13245366bb
14156c4360
15cd3ea13
hex8bf6440

146760768 has 224 divisors, whose sum is σ = 538398720. Its totient is φ = 38085120.

The previous prime is 146760767. The next prime is 146760797. The reversal of 146760768 is 867067641.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (146760767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132505 + ... + 133607.

Almost surely, 2146760768 is an apocalyptic number.

146760768 is a gapful number since it is divisible by the number (18) 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 146760768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269199360).

146760768 is an abundant number, since it is smaller than the sum of its proper divisors (391637952).

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

146760768 is a wasteful number, since it uses less digits than its factorization.

146760768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 146760768 is about 12114.4858743572. The cubic root of 146760768 is about 527.4767543645.

The spelling of 146760768 in words is "one hundred forty-six million, seven hundred sixty thousand, seven hundred sixty-eight".