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146388060 = 22355713331
BaseRepresentation
bin10001011100110…
…11010001011100
3101012110021200000
420232123101130
5244433404220
622305334300
73425164230
oct1056332134
9335407600
10146388060
11756a5575
1241037390
1324435b70
14156285c0
15ccb9390
hex8b9b45c

146388060 has 288 divisors, whose sum is σ = 568468992. Its totient is φ = 30792960.

The previous prime is 146388049. The next prime is 146388079. The reversal of 146388060 is 60883641.

It is a happy number.

146388060 is a `hidden beast` number, since 14 + 638 + 8 + 0 + 6 + 0 = 666.

146388060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1463880602 = 42858928221127200, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 442095 + ... + 442425.

Almost surely, 2146388060 is an apocalyptic number.

146388060 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 146388060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284234496).

146388060 is an abundant number, since it is smaller than the sum of its proper divisors (422080932).

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

146388060 is a wasteful number, since it uses less digits than its factorization.

146388060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 361 counting only the distinct ones).

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

The square root of 146388060 is about 12099.0933544626. The cubic root of 146388060 is about 527.0298559516.

The spelling of 146388060 in words is "one hundred forty-six million, three hundred eighty-eight thousand, sixty".