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146005380 = 223252335267
BaseRepresentation
bin10001011001111…
…01110110000100
3101011201211201200
420230331312010
5244334133010
622253222500
73422011443
oct1054756604
9334654650
10146005380
1175464004
1240a91a30
1324330921
1415568d5a
15cc40cc0
hex8b3dd84

146005380 has 72 divisors (see below), whose sum is σ = 462151872. Its totient is φ = 37240896.

The previous prime is 146005361. The next prime is 146005397. The reversal of 146005380 is 83500641.

146005380 is a `hidden beast` number, since 1 + 4 + 600 + 53 + 8 + 0 = 666.

146005380 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 23 ways as a sum of consecutive naturals, for example, 13494 + ... + 21773.

It is an arithmetic number, because the mean of its divisors is an integer number (6418776).

Almost surely, 2146005380 is an apocalyptic number.

146005380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146005380 is an abundant number, since it is smaller than the sum of its proper divisors (316146492).

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

146005380 is a wasteful number, since it uses less digits than its factorization.

146005380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35305 (or 35300 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 146005380 is about 12083.2685975277. The cubic root of 146005380 is about 526.5702105755.

The spelling of 146005380 in words is "one hundred forty-six million, five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 35267 70534 105801 141068 176335 211602 317403 352670 423204 529005 634806 705340 811141 1058010 1269612 1587015 1622282 2116020 2433423 3174030 3244564 4055705 4866846 6348060 7300269 8111410 9733692 12167115 14600538 16222820 24334230 29201076 36501345 48668460 73002690 146005380