Search a number
-
+
1310672 = 24112677
BaseRepresentation
bin100111111111111010000
32110120220102
410333333100
5313420142
644031532
714066126
oct4777720
92416812
101310672
11815800
125325a8
1336b75c
14261916
151ad532
hex13ffd0

1310672 has 30 divisors (see below), whose sum is σ = 2795394. Its totient is φ = 594880.

The previous prime is 1310669. The next prime is 1310681. The reversal of 1310672 is 2760131.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1308736 + 1936 = 1144^2 + 44^2 .

It is a super-2 number, since 2×13106722 = 3435722183168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1598 + ... + 2274.

21310672 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 1310672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397697).

1310672 is an abundant number, since it is smaller than the sum of its proper divisors (1484722).

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

1310672 is a wasteful number, since it uses less digits than its factorization.

1310672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 1310672 is about 1144.8458411507. The cubic root of 1310672 is about 109.4371246523.

The spelling of 1310672 in words is "one million, three hundred ten thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 677 968 1354 1936 2708 5416 7447 10832 14894 29788 59576 81917 119152 163834 327668 655336 1310672