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1146906 = 23367317
BaseRepresentation
bin100011000000000011010
32011021021000
410120000122
5243200111
640325430
712514515
oct4300032
92137230
101146906
11713762
12473876
13312057
1421bd7c
15179c56
hex11801a

1146906 has 32 divisors (see below), whose sum is σ = 2594880. Its totient is φ = 375408.

The previous prime is 1146881. The next prime is 1146911. The reversal of 1146906 is 6096411.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1146906.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3460 + ... + 3776.

It is an arithmetic number, because the mean of its divisors is an integer number (81090).

21146906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1146906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297440).

1146906 is an abundant number, since it is smaller than the sum of its proper divisors (1447974).

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

1146906 is a wasteful number, since it uses less digits than its factorization.

1146906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

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

The square root of 1146906 is about 1070.9369729354. The cubic root of 1146906 is about 104.6749129145.

The spelling of 1146906 in words is "one million, one hundred forty-six thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 317 402 603 634 951 1206 1809 1902 2853 3618 5706 8559 17118 21239 42478 63717 127434 191151 382302 573453 1146906