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146058980 = 22531376367
BaseRepresentation
bin10001011010010…
…10111011100100
3101011211120020212
420231022323210
5244342341410
622254314552
73422323634
oct1055127344
9334746225
10146058980
11754a0301
1240ab8a58
132434c142
14155806c4
15cc51b05
hex8b4aee4

146058980 has 48 divisors (see below), whose sum is σ = 325226496. Its totient is φ = 55002240.

The previous prime is 146058971. The next prime is 146059009. The reversal of 146058980 is 89850641.

146058980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19757 + ... + 26123.

It is an arithmetic number, because the mean of its divisors is an integer number (6775552).

Almost surely, 2146058980 is an apocalyptic number.

146058980 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 146058980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162613248).

146058980 is an abundant number, since it is smaller than the sum of its proper divisors (179167516).

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

146058980 is a wasteful number, since it uses less digits than its factorization.

146058980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6444 (or 6442 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 146058980 is about 12085.4863369250. The cubic root of 146058980 is about 526.6346390465.

The spelling of 146058980 in words is "one hundred forty-six million, fifty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 31 37 62 74 124 148 155 185 310 370 620 740 1147 2294 4588 5735 6367 11470 12734 22940 25468 31835 63670 127340 197377 235579 394754 471158 789508 942316 986885 1177895 1973770 2355790 3947540 4711580 7302949 14605898 29211796 36514745 73029490 146058980