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145821060 = 223457211167
BaseRepresentation
bin10001011000100…
…00110110000100
3101011101110220000
420230100312010
5244312233220
622245241300
73420313200
oct1054206604
9334343800
10145821060
1175348580
1240a03230
1324297a68
141551bb00
15cc06390
hex8b10d84

145821060 has 360 divisors, whose sum is σ = 583982784. Its totient is φ = 30119040.

The previous prime is 145821059. The next prime is 145821079. The reversal of 145821060 is 60128541.

145821060 is a `hidden beast` number, since 14 + 582 + 10 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 873097 + ... + 873263.

Almost surely, 2145821060 is an apocalyptic number.

145821060 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 145821060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291991392).

145821060 is an abundant number, since it is smaller than the sum of its proper divisors (438161724).

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

145821060 is a wasteful number, since it uses less digits than its factorization.

145821060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 145821060 is about 12075.6391135211. The cubic root of 145821060 is about 526.3485331453.

The spelling of 145821060 in words is "one hundred forty-five million, eight hundred twenty-one thousand, sixty".