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146430540 = 22325813503
BaseRepresentation
bin10001011101001…
…01101001001100
3101012112102221100
420232211221030
5244441234130
622310303100
73425432124
oct1056455114
9335472840
10146430540
1175724483
1241057a90
132444c2b9
1415639c84
15ccc6c60
hex8ba5a4c

146430540 has 36 divisors (see below), whose sum is σ = 444173184. Its totient is φ = 39048096.

The previous prime is 146430533. The next prime is 146430547. The reversal of 146430540 is 45034641.

146430540 is a `hidden beast` number, since 14 + 643 + 0 + 5 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (146430533) and next prime (146430547).

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (146430547) 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 11 ways as a sum of consecutive naturals, for example, 406572 + ... + 406931.

It is an arithmetic number, because the mean of its divisors is an integer number (12338144).

Almost surely, 2146430540 is an apocalyptic number.

146430540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146430540 is an abundant number, since it is smaller than the sum of its proper divisors (297742644).

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

146430540 is a wasteful number, since it uses less digits than its factorization.

146430540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813518 (or 813513 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 146430540 is about 12100.8487305643. The cubic root of 146430540 is about 527.0808301978.

The spelling of 146430540 in words is "one hundred forty-six million, four hundred thirty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 813503 1627006 2440509 3254012 4067515 4881018 7321527 8135030 9762036 12202545 14643054 16270060 24405090 29286108 36607635 48810180 73215270 146430540