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146038900 = 22527208627
BaseRepresentation
bin10001011010001…
…10000001110100
3101011210112201011
420231012001310
5244341221100
622254042004
73422211250
oct1055060164
9334715634
10146038900
1175487207
1240aa9304
1324342c67
1415577260
15cc4abba
hex8b46074

146038900 has 36 divisors (see below), whose sum is σ = 362178208. Its totient is φ = 50070240.

The previous prime is 146038831. The next prime is 146038901. The reversal of 146038900 is 9830641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146038901) 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 11 ways as a sum of consecutive naturals, for example, 103614 + ... + 105013.

Almost surely, 2146038900 is an apocalyptic number.

146038900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146038900 is an abundant number, since it is smaller than the sum of its proper divisors (216139308).

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

146038900 is a wasteful number, since it uses less digits than its factorization.

146038900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208648 (or 208641 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 146038900 is about 12084.6555598412. The cubic root of 146038900 is about 526.6105042571.

The spelling of 146038900 in words is "one hundred forty-six million, thirty-eight thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 208627 417254 834508 1043135 1460389 2086270 2920778 4172540 5215675 5841556 7301945 10431350 14603890 20862700 29207780 36509725 73019450 146038900