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146696992 = 2513352637
BaseRepresentation
bin10001011111001…
…10101100100000
3101020000222102221
420233212230200
5300023300432
622320120424
73430622011
oct1057465440
9336028387
10146696992
1175896692
1241166114
1324513670
14156a9008
15cd2ab97
hex8be6b20

146696992 has 24 divisors (see below), whose sum is σ = 311026716. Its totient is φ = 67706112.

The previous prime is 146696989. The next prime is 146696999. The reversal of 146696992 is 299696641.

146696992 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 2 ways, for example, as 124456336 + 22240656 = 11156^2 + 4716^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (146696999) 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 3 ways as a sum of consecutive naturals, for example, 175903 + ... + 176734.

Almost surely, 2146696992 is an apocalyptic number.

It is an amenable number.

146696992 is an abundant number, since it is smaller than the sum of its proper divisors (164329724).

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

146696992 is a wasteful number, since it uses less digits than its factorization.

146696992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352660 (or 352652 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 52.

The square root of 146696992 is about 12111.8533676725. The cubic root of 146696992 is about 527.4003369585.

The spelling of 146696992 in words is "one hundred forty-six million, six hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 352637 705274 1410548 2821096 4584281 5642192 9168562 11284384 18337124 36674248 73348496 146696992