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146409029 = 13711271249
BaseRepresentation
bin10001011101000…
…00011001000101
3101012111100102122
420232200121011
5244440042104
622310015325
73425312324
oct1056403105
9335440378
10146409029
117570a2a8
1241047545
1324442580
14156320bb
15ccc06be
hex8ba0645

146409029 has 16 divisors (see below), whose sum is σ = 161280000. Its totient is φ = 132088320.

The previous prime is 146409017. The next prime is 146409091. The reversal of 146409029 is 920904641.

It is not a de Polignac number, because 146409029 - 24 = 146409013 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 146409029.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146409229) 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 15 ways as a sum of consecutive naturals, for example, 116597 + ... + 117845.

It is an arithmetic number, because the mean of its divisors is an integer number (10080000).

Almost surely, 2146409029 is an apocalyptic number.

It is an amenable number.

146409029 is a deficient number, since it is larger than the sum of its proper divisors (14870971).

146409029 is a wasteful number, since it uses less digits than its factorization.

146409029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460.

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 146409029 is about 12099.9598759665. The cubic root of 146409029 is about 527.0550191181.

The spelling of 146409029 in words is "one hundred forty-six million, four hundred nine thousand, twenty-nine".

Divisors: 1 13 71 127 923 1249 1651 9017 16237 88679 117221 158623 1152827 2062099 11262233 146409029