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1313676 = 2232713401
BaseRepresentation
bin101000000101110001100
32110202000200
411000232030
5314014201
644053500
714110650
oct5005614
92422020
101313676
11817a91
12534290
1336cc30
14262a60
151ae386
hex140b8c

1313676 has 72 divisors (see below), whose sum is σ = 4097184. Its totient is φ = 345600.

The previous prime is 1313657. The next prime is 1313677. The reversal of 1313676 is 6763131.

1313676 = T188 + T189 + ... + T243.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1313677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3076 + ... + 3476.

21313676 is an apocalyptic number.

1313676 is the 936-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048592).

1313676 is an abundant number, since it is smaller than the sum of its proper divisors (2783508).

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

1313676 is a wasteful number, since it uses less digits than its factorization.

1313676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 426 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 1313676 is about 1146.1570573006. The cubic root of 1313676 is about 109.5206691451.

It can be divided in two parts, 13 and 13676, that added together give a square (13689 = 1172).

The spelling of 1313676 in words is "one million, three hundred thirteen thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 401 468 546 802 819 1092 1203 1604 1638 2406 2807 3276 3609 4812 5213 5614 7218 8421 10426 11228 14436 15639 16842 20852 25263 31278 33684 36491 46917 50526 62556 72982 93834 101052 109473 145964 187668 218946 328419 437892 656838 1313676