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146053040 = 2457260809
BaseRepresentation
bin10001011010010…
…01011110110000
3101011211021002212
420231021132300
5244342144130
622254231252
73422300420
oct1055113660
9334737085
10146053040
11754968a1
1240ab5528
1324349523
141557c480
15cc4ee95
hex8b497b0

146053040 has 40 divisors (see below), whose sum is σ = 388085280. Its totient is φ = 50075136.

The previous prime is 146053031. The next prime is 146053043. The reversal of 146053040 is 40350641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 146052997 and 146053015.

It is not an unprimeable number, because it can be changed into a prime (146053043) 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 7 ways as a sum of consecutive naturals, for example, 129845 + ... + 130964.

It is an arithmetic number, because the mean of its divisors is an integer number (9702132).

Almost surely, 2146053040 is an apocalyptic number.

146053040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146053040 is an abundant number, since it is smaller than the sum of its proper divisors (242032240).

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

146053040 is a wasteful number, since it uses less digits than its factorization.

146053040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260829 (or 260823 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 146053040 is about 12085.2405851104. The cubic root of 146053040 is about 526.6274998024.

The spelling of 146053040 in words is "one hundred forty-six million, fifty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 260809 521618 1043236 1304045 1825663 2086472 2608090 3651326 4172944 5216180 7302652 9128315 10432360 14605304 18256630 20864720 29210608 36513260 73026520 146053040