Search a number
-
+
35790137 = 371396959
BaseRepresentation
bin1000100010000…
…1110100111001
32111100022211122
42020201310321
533130241022
63315035025
7613132265
oct210416471
974308748
1035790137
1119225729
12bb9ba75
1375515c6
144a790a5
15321e742
hex2221d39

35790137 has 8 divisors (see below), whose sum is σ = 37027200. Its totient is φ = 34567344.

The previous prime is 35790101. The next prime is 35790143. The reversal of 35790137 is 73109753.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 35790137 - 214 = 35773753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 35790097 and 35790106.

It is not an unprimeable number, because it can be changed into a prime (35720137) 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 7 ways as a sum of consecutive naturals, for example, 1664 + ... + 8622.

It is an arithmetic number, because the mean of its divisors is an integer number (4628400).

Almost surely, 235790137 is an apocalyptic number.

35790137 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

35790137 is a deficient number, since it is larger than the sum of its proper divisors (1237063).

35790137 is a wasteful number, since it uses less digits than its factorization.

35790137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7135.

The product of its (nonzero) digits is 19845, while the sum is 35.

The square root of 35790137 is about 5982.4858545591. The cubic root of 35790137 is about 329.5498514964.

The spelling of 35790137 in words is "thirty-five million, seven hundred ninety thousand, one hundred thirty-seven".

Divisors: 1 37 139 5143 6959 257483 967301 35790137