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1314976 = 251329109
BaseRepresentation
bin101000001000010100000
32110210210211
411001002200
5314034401
644103504
714114515
oct5010240
92423724
101314976
11818a63
12534b94
133706c0
1426330c
151ae951
hex1410a0

1314976 has 48 divisors (see below), whose sum is σ = 2910600. Its totient is φ = 580608.

The previous prime is 1314953. The next prime is 1314997. The reversal of 1314976 is 6794131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1040400 + 274576 = 1020^2 + 524^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12010 + ... + 12118.

21314976 is an apocalyptic number.

1314976 is a gapful number since it is divisible by the number (16) 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 1314976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455300).

1314976 is an abundant number, since it is smaller than the sum of its proper divisors (1595624).

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

1314976 is a wasteful number, since it uses less digits than its factorization.

1314976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 153 counting only the distinct ones).

The product of its digits is 4536, while the sum is 31.

The square root of 1314976 is about 1146.7240295729. The cubic root of 1314976 is about 109.5567840702.

It can be divided in two parts, 13149 and 76, that added together give a square (13225 = 1152).

The spelling of 1314976 in words is "one million, three hundred fourteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 109 116 208 218 232 377 416 436 464 754 872 928 1417 1508 1744 2834 3016 3161 3488 5668 6032 6322 11336 12064 12644 22672 25288 41093 45344 50576 82186 101152 164372 328744 657488 1314976