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32090994 = 23213294729
BaseRepresentation
bin111101001101…
…0101101110010
32020101101120100
41322122231302
531203402434
63103453230
7536524515
oct172325562
966341510
1032090994
1117129491
12a8b7216
136857970
144394d7c
152c3d699
hex1e9ab72

32090994 has 48 divisors (see below), whose sum is σ = 77477400. Its totient is φ = 9531648.

The previous prime is 32090977. The next prime is 32090999. The reversal of 32090994 is 49909023.

It can be written as a sum of positive squares in 4 ways, for example, as 12510369 + 19580625 = 3537^2 + 4425^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (32090999) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4422 + ... + 9150.

Almost surely, 232090994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32090994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38738700).

32090994 is an abundant number, since it is smaller than the sum of its proper divisors (45386406).

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

32090994 is a wasteful number, since it uses less digits than its factorization.

32090994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4779 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 32090994 is about 5664.8913493553. The cubic root of 32090994 is about 317.7808505507.

The spelling of 32090994 in words is "thirty-two million, ninety thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1131 2262 3393 4729 6786 9458 14187 28374 42561 61477 85122 122954 137141 184431 274282 368862 411423 553293 822846 1106586 1234269 1782833 2468538 3565666 5348499 10696998 16045497 32090994