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11371000 = 235383137
BaseRepresentation
bin101011011000…
…000111111000
3210101201002011
4223120013320
510402333000
61043415304
7165436414
oct53300770
923351064
1011371000
116467223
123984534
132481904
14171dd44
15ee92ba
hexad81f8

11371000 has 64 divisors (see below), whose sum is σ = 27125280. Its totient is φ = 4460800.

The previous prime is 11370971. The next prime is 11371027. The reversal of 11371000 is 17311.

11371000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 82932 + ... + 83068.

Almost surely, 211371000 is an apocalyptic number.

11371000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11371000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13562640).

11371000 is an abundant number, since it is smaller than the sum of its proper divisors (15754280).

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

11371000 is a wasteful number, since it uses less digits than its factorization.

11371000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 13.

The square root of 11371000 is about 3372.0913392137. The cubic root of 11371000 is about 224.8707076116.

Adding to 11371000 its reverse (17311), we get a palindrome (11388311).

The spelling of 11371000 in words is "eleven million, three hundred seventy-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 125 137 166 200 250 274 332 415 500 548 664 685 830 1000 1096 1370 1660 2075 2740 3320 3425 4150 5480 6850 8300 10375 11371 13700 16600 17125 20750 22742 27400 34250 41500 45484 56855 68500 83000 90968 113710 137000 227420 284275 454840 568550 1137100 1421375 2274200 2842750 5685500 11371000