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37030129 = 295772213
BaseRepresentation
bin1000110101000…
…0100011110001
32120200022210021
42031100203301
533434431004
63401403441
7626515363
oct215204361
976608707
1037030129
11199a2314
1210499581
137896b26
144cbcd33
1533b6d54
hex23508f1

37030129 has 8 divisors (see below), whose sum is σ = 38390760. Its totient is φ = 35675136.

The previous prime is 37030127. The next prime is 37030139. The reversal of 37030129 is 92103073.

It can be written as a sum of positive squares in 4 ways, for example, as 29593600 + 7436529 = 5440^2 + 2727^2 .

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 37030129 - 21 = 37030127 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37030127) 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, 15627 + ... + 17839.

It is an arithmetic number, because the mean of its divisors is an integer number (4798845).

Almost surely, 237030129 is an apocalyptic number.

It is an amenable number.

37030129 is a deficient number, since it is larger than the sum of its proper divisors (1360631).

37030129 is a wasteful number, since it uses less digits than its factorization.

37030129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819.

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 37030129 is about 6085.2386148778. The cubic root of 37030129 is about 333.3126079336.

It can be divided in two parts, 370301 and 29, that multiplied together give a square (10738729 = 32772).

The spelling of 37030129 in words is "thirty-seven million, thirty thousand, one hundred twenty-nine".

Divisors: 1 29 577 2213 16733 64177 1276901 37030129