Search a number
-
+
10256740 = 22513103383
BaseRepresentation
bin100111001000…
…000101100100
3201022002121021
4213020011210
510111203430
61003500524
7153116014
oct47100544
921262537
1010256740
11587604a
123527744
1321816a0
14150dc44
15d7907a
hex9c8164

10256740 has 48 divisors (see below), whose sum is σ = 23482368. Its totient is φ = 3740544.

The previous prime is 10256711. The next prime is 10256759. The reversal of 10256740 is 4765201.

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, 26589 + ... + 26971.

It is an arithmetic number, because the mean of its divisors is an integer number (489216).

Almost surely, 210256740 is an apocalyptic number.

10256740 is a gapful number since it is divisible by the number (10) 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 10256740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11741184).

10256740 is an abundant number, since it is smaller than the sum of its proper divisors (13225628).

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

10256740 is a wasteful number, since it uses less digits than its factorization.

10256740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 10256740 is about 3202.6145568894. The cubic root of 10256740 is about 217.2716765476.

It can be divided in two parts, 102567 and 40, that multiplied together give a triangular number (4102680 = T2864).

The spelling of 10256740 in words is "ten million, two hundred fifty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 103 130 206 260 383 412 515 766 1030 1339 1532 1915 2060 2678 3830 4979 5356 6695 7660 9958 13390 19916 24895 26780 39449 49790 78898 99580 157796 197245 394490 512837 788980 1025674 2051348 2564185 5128370 10256740