Search a number
-
+
906016104 = 23347199739
BaseRepresentation
bin110110000000001…
…011010101101000
32100010211101110000
4312000023111220
53323420003404
6225523023000
731311003240
oct6600132550
92303741400
10906016104
11425471344
1221350aa60
13115921b06
1488484b20
1554819339
hex3600b568

906016104 has 80 divisors (see below), whose sum is σ = 2900224800. Its totient is φ = 258860448.

The previous prime is 906016099. The next prime is 906016109. The reversal of 906016104 is 401610609.

It is an interprime number because it is at equal distance from previous prime (906016099) and next prime (906016109).

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

It is not an unprimeable number, because it can be changed into a prime (906016109) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95334 + ... + 104405.

It is an arithmetic number, because the mean of its divisors is an integer number (36252810).

Almost surely, 2906016104 is an apocalyptic number.

It is an amenable number.

906016104 is an abundant number, since it is smaller than the sum of its proper divisors (1994208696).

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

906016104 is a wasteful number, since it uses less digits than its factorization.

906016104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199764 (or 199751 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 906016104 is about 30100.1013951781. The cubic root of 906016104 is about 967.6358994246.

The spelling of 906016104 in words is "nine hundred six million, sixteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 199739 399478 599217 798956 1198434 1398173 1597912 1797651 2396868 2796346 3595302 4194519 4793736 5392953 5592692 7190604 8389038 10785906 11185384 12583557 14381208 16178859 16778076 21571812 25167114 32357718 33556152 37750671 43143624 50334228 64715436 75501342 100668456 113252013 129430872 151002684 226504026 302005368 453008052 906016104