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146810961 = 3411164771
BaseRepresentation
bin10001100000000…
…10100001010001
3101020020202210000
420300002201101
5300040422321
622322400213
73431605203
oct1060024121
9336222700
10146810961
1175964280
1241200069
13245534bb
14156d8773
15cd4e826
hex8c02851

146810961 has 20 divisors (see below), whose sum is σ = 239248944. Its totient is φ = 88975800.

The previous prime is 146810953. The next prime is 146810977. The reversal of 146810961 is 169018641.

It is a happy number.

It is not a de Polignac number, because 146810961 - 23 = 146810953 is a prime.

It is a super-3 number, since 3×1468109613 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (146810921) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 81495 + ... + 83276.

Almost surely, 2146810961 is an apocalyptic number.

146810961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146810961 is a deficient number, since it is larger than the sum of its proper divisors (92437983).

146810961 is a wasteful number, since it uses less digits than its factorization.

146810961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164794 (or 164785 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 146810961 is about 12116.5573080805. The cubic root of 146810961 is about 527.5368808397.

The spelling of 146810961 in words is "one hundred forty-six million, eight hundred ten thousand, nine hundred sixty-one".

Divisors: 1 3 9 11 27 33 81 99 297 891 164771 494313 1482939 1812481 4448817 5437443 13346451 16312329 48936987 146810961