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146808973 = 1579672
BaseRepresentation
bin10001100000000…
…10000010001101
3101020020200001101
420300002002031
5300040341343
622322343101
73431566333
oct1060020215
9336220041
10146808973
1175962833
12411baa91
132455261c
14156d7b53
15cd4de4d
hex8c0208d

146808973 has 6 divisors (see below), whose sum is σ = 147897006. Its totient is φ = 145723032.

The previous prime is 146808917. The next prime is 146808983. The reversal of 146808973 is 379808641.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 113145769 + 33663204 = 10637^2 + 5802^2 .

It is not a de Polignac number, because 146808973 - 213 = 146800781 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146808983) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 151336 + ... + 152302.

It is an arithmetic number, because the mean of its divisors is an integer number (24649501).

Almost surely, 2146808973 is an apocalyptic number.

It is an amenable number.

146808973 is a deficient number, since it is larger than the sum of its proper divisors (1088033).

146808973 is an frugal number, since it uses more digits than its factorization.

146808973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 146808973 is about 12116.4752712990. The cubic root of 146808973 is about 527.5344996640.

It can be divided in two parts, 14680 and 8973, that added together give a triangular number (23653 = T217).

The spelling of 146808973 in words is "one hundred forty-six million, eight hundred eight thousand, nine hundred seventy-three".

Divisors: 1 157 967 151819 935089 146808973