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1314192 = 2431119131
BaseRepresentation
bin101000000110110010000
32110202201210
411000312100
5314023232
644100120
714112315
oct5006620
92422653
101314192
11818410
12534640
13370239
14262d0c
151ae5cc
hex140d90

1314192 has 80 divisors (see below), whose sum is σ = 3928320. Its totient is φ = 374400.

The previous prime is 1314191. The next prime is 1314199. The reversal of 1314192 is 2914131.

It is a super-2 number, since 2×13141922 = 3454201225728, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1314191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9967 + ... + 10097.

It is an arithmetic number, because the mean of its divisors is an integer number (49104).

21314192 is an apocalyptic number.

1314192 is a gapful number since it is divisible by the number (12) 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 1314192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964160).

1314192 is an abundant number, since it is smaller than the sum of its proper divisors (2614128).

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

1314192 is a wasteful number, since it uses less digits than its factorization.

1314192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 1314192 is about 1146.3821352411. The cubic root of 1314192 is about 109.5350068427.

The spelling of 1314192 in words is "one million, three hundred fourteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 131 132 152 176 209 228 262 264 304 393 418 456 524 528 627 786 836 912 1048 1254 1441 1572 1672 2096 2489 2508 2882 3144 3344 4323 4978 5016 5764 6288 7467 8646 9956 10032 11528 14934 17292 19912 23056 27379 29868 34584 39824 54758 59736 69168 82137 109516 119472 164274 219032 328548 438064 657096 1314192