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906260401 = 71139229401
BaseRepresentation
bin110110000001000…
…110111110110001
32100011021210120001
4312001012332301
53324000313101
6225532150001
731313041414
oct6601067661
92304253501
10906260401
11425618942
12213608301
131159a9077
1488509b7b
1554866901
hex36046fb1

906260401 has 16 divisors (see below), whose sum is σ = 931996800. Its totient is φ = 880992000.

The previous prime is 906260387. The next prime is 906260413. The reversal of 906260401 is 104062609.

906260401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 906260401 - 27 = 906260273 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 906260401.

It is not an unprimeable number, because it can be changed into a prime (906260491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2259801 + ... + 2260201.

It is an arithmetic number, because the mean of its divisors is an integer number (58249800).

Almost surely, 2906260401 is an apocalyptic number.

It is an amenable number.

906260401 is a deficient number, since it is larger than the sum of its proper divisors (25736399).

906260401 is a wasteful number, since it uses less digits than its factorization.

906260401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 906260401 is about 30104.1591976923. The cubic root of 906260401 is about 967.7228623026.

It can be divided in two parts, 90 and 6260401, that added together give a triangular number (6260491 = T3538).

The spelling of 906260401 in words is "nine hundred six million, two hundred sixty thousand, four hundred one".

Divisors: 1 71 139 229 401 9869 16259 28471 31831 55739 91829 2260001 3957469 6519859 12764231 906260401