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146483064 = 233271379283
BaseRepresentation
bin10001011101100…
…10011101111000
3101012122002222200
420232302131320
5244444424224
622311350200
73426041220
oct1056623570
9335562880
10146483064
117575a992
1241082360
132446a190
1415651080
15ccd75c9
hex8bb2778

146483064 has 192 divisors, whose sum is σ = 496204800. Its totient is φ = 38009088.

The previous prime is 146483023. The next prime is 146483081. The reversal of 146483064 is 460384641.

146483064 is a `hidden beast` number, since 1 + 4 + 648 + 3 + 0 + 6 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 517467 + ... + 517749.

It is an arithmetic number, because the mean of its divisors is an integer number (2584400).

Almost surely, 2146483064 is an apocalyptic number.

146483064 is a gapful number since it is divisible by the number (14) 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 146483064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248102400).

146483064 is an abundant number, since it is smaller than the sum of its proper divisors (349721736).

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

146483064 is a wasteful number, since it uses less digits than its factorization.

146483064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 146483064 is about 12103.0187969779. The cubic root of 146483064 is about 527.1438432006.

The spelling of 146483064 in words is "one hundred forty-six million, four hundred eighty-three thousand, sixty-four".