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1138296 = 233431103
BaseRepresentation
bin100010101111001111000
32010211110010
410111321320
5242411141
640221520
712450435
oct4257170
92124403
101138296
11708245
1246a8a0
1330b163
14218b8c
15177416
hex115e78

1138296 has 32 divisors (see below), whose sum is σ = 2914560. Its totient is φ = 370272.

The previous prime is 1138273. The next prime is 1138363. The reversal of 1138296 is 6928311.

It is an Ulam number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 481 + ... + 1583.

It is an arithmetic number, because the mean of its divisors is an integer number (91080).

21138296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457280).

1138296 is an abundant number, since it is smaller than the sum of its proper divisors (1776264).

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

1138296 is a wasteful number, since it uses less digits than its factorization.

1138296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1151 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 1138296 is about 1066.9095556794. The cubic root of 1138296 is about 104.4123178020.

The spelling of 1138296 in words is "one million, one hundred thirty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 1103 2206 3309 4412 6618 8824 13236 26472 47429 94858 142287 189716 284574 379432 569148 1138296