Search a number
-
+
10978734 = 2313413433
BaseRepresentation
bin101001111000…
…010110101110
3202122202222210
4221320112232
510302304414
61031151250
7162213654
oct51702656
922582883
1010978734
116219538
123815526
1323751c0
14165add4
15e6ce59
hexa785ae

10978734 has 32 divisors (see below), whose sum is σ = 24230304. Its totient is φ = 3294720.

The previous prime is 10978729. The next prime is 10978739. The reversal of 10978734 is 43787901.

It is an interprime number because it is at equal distance from previous prime (10978729) and next prime (10978739).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 10978692 and 10978701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10978739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1482 + ... + 4914.

It is an arithmetic number, because the mean of its divisors is an integer number (757197).

Almost surely, 210978734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10978734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12115152).

10978734 is an abundant number, since it is smaller than the sum of its proper divisors (13251570).

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

10978734 is a wasteful number, since it uses less digits than its factorization.

10978734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492.

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 10978734 is about 3313.4172692252. The cubic root of 10978734 is about 222.2545979311.

The spelling of 10978734 in words is "ten million, nine hundred seventy-eight thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 246 533 1066 1599 3198 3433 6866 10299 20598 44629 89258 133887 140753 267774 281506 422259 844518 1829789 3659578 5489367 10978734