Search a number
-
+
37281330 = 2335138079
BaseRepresentation
bin1000111000110…
…1111000110010
32121011002101000
42032031320302
534021000310
63411022430
7631612632
oct216157062
977132330
1037281330
111a054019
121059aa16
137954278
144d466c2
1534164c0
hex238de32

37281330 has 32 divisors (see below), whose sum is σ = 99417600. Its totient is φ = 9941616.

The previous prime is 37281263. The next prime is 37281331. The reversal of 37281330 is 3318273.

37281330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 37281294 and 37281303.

It is not an unprimeable number, because it can be changed into a prime (37281331) by changing a digit.

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, 68770 + ... + 69309.

It is an arithmetic number, because the mean of its divisors is an integer number (3106800).

Almost surely, 237281330 is an apocalyptic number.

37281330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

37281330 is an abundant number, since it is smaller than the sum of its proper divisors (62136270).

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

37281330 is a wasteful number, since it uses less digits than its factorization.

37281330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138095 (or 138089 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 37281330 is about 6105.8439220144. The cubic root of 37281330 is about 334.0646067666.

The spelling of 37281330 in words is "thirty-seven million, two hundred eighty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 138079 276158 414237 690395 828474 1242711 1380790 2071185 2485422 3728133 4142370 6213555 7456266 12427110 18640665 37281330