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146056120 = 2357895861
BaseRepresentation
bin10001011010010…
…10001110111000
3101011211102022221
420231022032320
5244342243440
622254253424
73422312410
oct1055121670
9334742287
10146056120
1175499141
1240ab7274
132434aa52
141557d640
15cc50d4a
hex8b4a3b8

146056120 has 64 divisors (see below), whose sum is σ = 379857600. Its totient is φ = 49505280.

The previous prime is 146056103. The next prime is 146056121. The reversal of 146056120 is 21650641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146056121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21990 + ... + 27850.

It is an arithmetic number, because the mean of its divisors is an integer number (5935275).

Almost surely, 2146056120 is an apocalyptic number.

146056120 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 146056120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189928800).

146056120 is an abundant number, since it is smaller than the sum of its proper divisors (233801480).

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

146056120 is a wasteful number, since it uses less digits than its factorization.

146056120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5968 (or 5964 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 146056120 is about 12085.3680126010. The cubic root of 146056120 is about 526.6312016568.

The spelling of 146056120 in words is "one hundred forty-six million, fifty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 89 140 178 280 356 445 623 712 890 1246 1780 2492 3115 3560 4984 5861 6230 11722 12460 23444 24920 29305 41027 46888 58610 82054 117220 164108 205135 234440 328216 410270 521629 820540 1043258 1641080 2086516 2608145 3651403 4173032 5216290 7302806 10432580 14605612 18257015 20865160 29211224 36514030 73028060 146056120