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6274240 = 26572801
BaseRepresentation
bin10111111011110011000000
3102210202122021
4113323303000
53101233430
6342251224
7104221150
oct27736300
912722567
106274240
1135a5a25
122126b14
1313b8a8b
14b94760
1583e07a
hex5fbcc0

6274240 has 56 divisors (see below), whose sum is σ = 17080992. Its totient is φ = 2150400.

The previous prime is 6274231. The next prime is 6274249. The reversal of 6274240 is 424726.

It is an interprime number because it is at equal distance from previous prime (6274231) and next prime (6274249).

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6274249) 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 7 ways as a sum of consecutive naturals, for example, 840 + ... + 3640.

Almost surely, 26274240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8540496).

6274240 is an abundant number, since it is smaller than the sum of its proper divisors (10806752).

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

6274240 is a wasteful number, since it uses less digits than its factorization.

6274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 6274240 is about 2504.8433084726. The cubic root of 6274240 is about 184.4394035278.

Adding to 6274240 its reverse (424726), we get a palindrome (6698966).

The spelling of 6274240 in words is "six million, two hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 2801 5602 11204 14005 19607 22408 28010 39214 44816 56020 78428 89632 98035 112040 156856 179264 196070 224080 313712 392140 448160 627424 784280 896320 1254848 1568560 3137120 6274240