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146275000 = 23555851
BaseRepresentation
bin10001011011111…
…11101010111000
3101012020112120121
420231333222320
5244421300000
622303103024
73424213504
oct1055775270
9335215517
10146275000
1175628633
1240ba1a74
13243c6571
14155d9304
15cc95b1a
hex8b7fab8

146275000 has 48 divisors (see below), whose sum is σ = 342868680. Its totient is φ = 58500000.

The previous prime is 146274979. The next prime is 146275001. The reversal of 146275000 is 572641.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146275001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22075 + ... + 27925.

Almost surely, 2146275000 is an apocalyptic number.

146275000 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 146275000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171434340).

146275000 is an abundant number, since it is smaller than the sum of its proper divisors (196593680).

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

146275000 is an frugal number, since it uses more digits than its factorization.

146275000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882 (or 5858 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 146275000 is about 12094.4202010679. The cubic root of 146275000 is about 526.8941405521.

The spelling of 146275000 in words is "one hundred forty-six million, two hundred seventy-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 5851 6250 11702 12500 23404 25000 29255 46808 58510 117020 146275 234040 292550 585100 731375 1170200 1462750 2925500 3656875 5851000 7313750 14627500 18284375 29255000 36568750 73137500 146275000