Search a number
-
+
2506734 = 23361761
BaseRepresentation
bin1001100011111111101110
311201100121000
421203333232
51120203414
6125421130
730210156
oct11437756
94640530
102506734
11146238a
12a0a7a6
13699c99
14493766
15347b09
hex263fee

2506734 has 32 divisors (see below), whose sum is σ = 5669280. Its totient is φ = 820800.

The previous prime is 2506729. The next prime is 2506759. The reversal of 2506734 is 4376052.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2506698 and 2506707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2914 + ... + 3674.

It is an arithmetic number, because the mean of its divisors is an integer number (177165).

22506734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834640).

2506734 is an abundant number, since it is smaller than the sum of its proper divisors (3162546).

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

2506734 is a wasteful number, since it uses less digits than its factorization.

2506734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2506734 is about 1583.2668757983. The cubic root of 2506734 is about 135.8426308347.

It can be divided in two parts, 2506 and 734, that added together give a triangular number (3240 = T80).

The spelling of 2506734 in words is "two million, five hundred six thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 366 549 761 1098 1522 1647 2283 3294 4566 6849 13698 20547 41094 46421 92842 139263 278526 417789 835578 1253367 2506734