Search a number
-
+
26934560 = 255712371
BaseRepresentation
bin110011010111…
…1110100100000
31212200102021022
41212233310200
523343401220
62401145012
7444640262
oct146576440
955612238
1026934560
1114227374
12902b168
135770913
143811b32
152570925
hex19afd20

26934560 has 48 divisors (see below), whose sum is σ = 64556352. Its totient is φ = 10617600.

The previous prime is 26934527. The next prime is 26934601. The reversal of 26934560 is 6543962.

It is a self number, because there is not a number n which added to its sum of digits gives 26934560.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10175 + ... + 12545.

It is an arithmetic number, because the mean of its divisors is an integer number (1344924).

Almost surely, 226934560 is an apocalyptic number.

26934560 is a gapful number since it is divisible by the number (20) 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 26934560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32278176).

26934560 is an abundant number, since it is smaller than the sum of its proper divisors (37621792).

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

26934560 is a wasteful number, since it uses less digits than its factorization.

26934560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 26934560 is about 5189.8516356443. The cubic root of 26934560 is about 299.7574335542.

The spelling of 26934560 in words is "twenty-six million, nine hundred thirty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 568 710 1136 1420 2272 2371 2840 4742 5680 9484 11360 11855 18968 23710 37936 47420 75872 94840 168341 189680 336682 379360 673364 841705 1346728 1683410 2693456 3366820 5386912 6733640 13467280 26934560