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146066060 = 225721131319
BaseRepresentation
bin10001011010011…
…00101010001100
3101011211220222002
420231030222030
5244343103220
622254411432
73422353400
oct1055145214
9334756862
10146066060
11754a5658
1240b00b78
132435242a
1415583100
15cc53c75
hex8b4ca8c

146066060 has 72 divisors (see below), whose sum is σ = 360249120. Its totient is φ = 49598976.

The previous prime is 146066059. The next prime is 146066071. The reversal of 146066060 is 60660641.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110081 + ... + 111399.

It is an arithmetic number, because the mean of its divisors is an integer number (5003460).

Almost surely, 2146066060 is an apocalyptic number.

146066060 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 146066060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180124560).

146066060 is an abundant number, since it is smaller than the sum of its proper divisors (214183060).

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

146066060 is a wasteful number, since it uses less digits than its factorization.

146066060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 146066060 is about 12085.7792467015. The cubic root of 146066060 is about 526.6431481958.

The spelling of 146066060 in words is "one hundred forty-six million, sixty-six thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 113 140 196 226 245 452 490 565 791 980 1130 1319 1582 2260 2638 3164 3955 5276 5537 6595 7910 9233 11074 13190 15820 18466 22148 26380 27685 36932 46165 55370 64631 92330 110740 129262 149047 184660 258524 298094 323155 596188 646310 745235 1043329 1292620 1490470 2086658 2980940 4173316 5216645 7303303 10433290 14606606 20866580 29213212 36516515 73033030 146066060