Search a number
-
+
1274406 = 237191597
BaseRepresentation
bin100110111001000100110
32101202011020
410313020212
5311240111
643152010
713555320
oct4671046
92352136
101274406
117a0531
12515606
133580b3
14252610
151a2906
hex137226

1274406 has 32 divisors (see below), whose sum is σ = 3068160. Its totient is φ = 344736.

The previous prime is 1274401. The next prime is 1274411. The reversal of 1274406 is 6044721.

1274406 is a nontrivial binomial coefficient, being equal to C(1597, 2).

It is an interprime number because it is at equal distance from previous prime (1274401) and next prime (1274411).

It is a super-2 number, since 2×12744062 = 3248221305672, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1274401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 1596.

It is an arithmetic number, because the mean of its divisors is an integer number (95880).

21274406 is an apocalyptic number.

1274406 is the 1596-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1274406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534080).

1274406 is an abundant number, since it is smaller than the sum of its proper divisors (1793754).

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

1274406 is a wasteful number, since it uses less digits than its factorization.

1274406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 1274406 is about 1128.8959208005. The cubic root of 1274406 is about 108.4183023067.

The spelling of 1274406 in words is "one million, two hundred seventy-four thousand, four hundred six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 1597 3194 4791 9582 11179 22358 30343 33537 60686 67074 91029 182058 212401 424802 637203 1274406