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146911540 = 22535320809
BaseRepresentation
bin10001100000110…
…11000100110100
3101020102212202011
420300123010310
5300102132130
622324454004
73432504346
oct1060330464
9336385664
10146911540
1175a228a6
124124a304
132458a209
1415723296
15cd6e52a
hex8c1b134

146911540 has 24 divisors (see below), whose sum is σ = 309403080. Its totient is φ = 58595328.

The previous prime is 146911517. The next prime is 146911547. The reversal of 146911540 is 45119641.

146911540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3055504 + 143856036 = 1748^2 + 11994^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146911547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3345 + ... + 17464.

It is an arithmetic number, because the mean of its divisors is an integer number (12891795).

Almost surely, 2146911540 is an apocalyptic number.

146911540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146911540 is an abundant number, since it is smaller than the sum of its proper divisors (162491540).

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

146911540 is a wasteful number, since it uses less digits than its factorization.

146911540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21171 (or 21169 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 146911540 is about 12120.7070750844. The cubic root of 146911540 is about 527.6573237535.

The spelling of 146911540 in words is "one hundred forty-six million, nine hundred eleven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 353 706 1412 1765 3530 7060 20809 41618 83236 104045 208090 416180 7345577 14691154 29382308 36727885 73455770 146911540