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146055000 = 23354713107
BaseRepresentation
bin10001011010010…
…01111101011000
3101011211100210110
420231021331120
5244342230000
622254244320
73422306220
oct1055117530
9334740713
10146055000
1175498313
1240ab66a0
132434a3a0
141557d080
15cc50850
hex8b49f58

146055000 has 320 divisors, whose sum is σ = 566818560. Its totient is φ = 30528000.

The previous prime is 146054999. The next prime is 146055011. The reversal of 146055000 is 550641.

It is a happy number.

146055000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1364947 + ... + 1365053.

It is an arithmetic number, because the mean of its divisors is an integer number (1771308).

Almost surely, 2146055000 is an apocalyptic number.

146055000 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 146055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283409280).

146055000 is an abundant number, since it is smaller than the sum of its proper divisors (420763560).

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

146055000 is a wasteful number, since it uses less digits than its factorization.

146055000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 146055000 is about 12085.3216754872. The cubic root of 146055000 is about 526.6298555339.

The spelling of 146055000 in words is "one hundred forty-six million, fifty-five thousand".