Search a number
-
+
90319670 = 25710312527
BaseRepresentation
bin1010110001000…
…10101100110110
320021221201021222
411120202230312
5141110212140
612543510342
72144463440
oct530425466
9207851258
1090319670
1146a8a561
12262b83b2
13159345bc
14bdd1490
157de15b5
hex5622b36

90319670 has 32 divisors (see below), whose sum is σ = 187619328. Its totient is φ = 30663648.

The previous prime is 90319633. The next prime is 90319681. The reversal of 90319670 is 7691309.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 90319670.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 947 + ... + 13473.

It is an arithmetic number, because the mean of its divisors is an integer number (5863104).

Almost surely, 290319670 is an apocalyptic number.

90319670 is an abundant number, since it is smaller than the sum of its proper divisors (97299658).

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

90319670 is a wasteful number, since it uses less digits than its factorization.

90319670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12644.

The product of its (nonzero) digits is 10206, while the sum is 35.

The square root of 90319670 is about 9503.6661347082. Note that the first 3 decimals coincide. The cubic root of 90319670 is about 448.6704294275.

The spelling of 90319670 in words is "ninety million, three hundred nineteen thousand, six hundred seventy".

Divisors: 1 2 5 7 10 14 35 70 103 206 515 721 1030 1442 3605 7210 12527 25054 62635 87689 125270 175378 438445 876890 1290281 2580562 6451405 9031967 12902810 18063934 45159835 90319670