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6840064 = 28711347
BaseRepresentation
bin11010000101111100000000
3110212111210201
4122011330000
53222340224
6402334544
7112065610
oct32057400
913774721
106840064
113952050
12235a454
13155649a
14ca0a40
15901a44
hex685f00

6840064 has 72 divisors (see below), whose sum is σ = 17071488. Its totient is φ = 2657280.

The previous prime is 6840061. The next prime is 6840073. The reversal of 6840064 is 4600486.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6840061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19539 + ... + 19885.

It is an arithmetic number, because the mean of its divisors is an integer number (237104).

Almost surely, 26840064 is an apocalyptic number.

6840064 is a gapful number since it is divisible by the number (64) 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 6840064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8535744).

6840064 is an abundant number, since it is smaller than the sum of its proper divisors (10231424).

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

6840064 is a wasteful number, since it uses less digits than its factorization.

6840064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 6840064 is about 2615.3516016016. The cubic root of 6840064 is about 189.8249912036.

The spelling of 6840064 in words is "six million, eight hundred forty thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 347 352 448 616 694 704 896 1232 1388 1408 1792 2429 2464 2776 2816 3817 4858 4928 5552 7634 9716 9856 11104 15268 19432 19712 22208 26719 30536 38864 44416 53438 61072 77728 88832 106876 122144 155456 213752 244288 310912 427504 488576 621824 855008 977152 1710016 3420032 6840064