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1137906 = 232711821
BaseRepresentation
bin100010101110011110010
32010210220200
410111303302
5242403111
640220030
712446340
oct4256362
92123820
101137906
11707a20
1246a616
1330ac23
14218990
15177256
hex115cf2

1137906 has 48 divisors (see below), whose sum is σ = 3077568. Its totient is φ = 295200.

The previous prime is 1137889. The next prime is 1137911. The reversal of 1137906 is 6097311.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1137906.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 976 + ... + 1796.

It is an arithmetic number, because the mean of its divisors is an integer number (64116).

21137906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1137906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538784).

1137906 is an abundant number, since it is smaller than the sum of its proper divisors (1939662).

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

1137906 is a wasteful number, since it uses less digits than its factorization.

1137906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 1137906 is about 1066.7267691401. The cubic root of 1137906 is about 104.4003919481.

The spelling of 1137906 in words is "one million, one hundred thirty-seven thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 821 1386 1642 2463 4926 5747 7389 9031 11494 14778 17241 18062 27093 34482 51723 54186 63217 81279 103446 126434 162558 189651 379302 568953 1137906