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7226240 = 27571613
BaseRepresentation
bin11011100100001110000000
3111121010112112
4123210032000
53322214430
6414514452
7115264520
oct33441600
914533475
107226240
1140961aa
122505a28
1316601a8
14d61680
1597b195
hex6e4380

7226240 has 64 divisors (see below), whose sum is σ = 19755360. Its totient is φ = 2476032.

The previous prime is 7226227. The next prime is 7226267. The reversal of 7226240 is 426227.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3674 + ... + 5286.

Almost surely, 27226240 is an apocalyptic number.

7226240 is a gapful number since it is divisible by the number (70) 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 7226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9877680).

7226240 is an abundant number, since it is smaller than the sum of its proper divisors (12529120).

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

7226240 is a wasteful number, since it uses less digits than its factorization.

7226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 7226240 is about 2688.1666615000. The cubic root of 7226240 is about 193.3321706893.

The spelling of 7226240 in words is "seven million, two hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 1613 2240 3226 4480 6452 8065 11291 12904 16130 22582 25808 32260 45164 51616 56455 64520 90328 103232 112910 129040 180656 206464 225820 258080 361312 451640 516160 722624 903280 1032320 1445248 1806560 3613120 7226240