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7242240 = 29352341
BaseRepresentation
bin11011101000001000000000
3111121221111010
4123220020000
53323222430
6415120520
7115362255
oct33501000
914557433
107242240
1140a7225
122513140
131667565
14d6742c
15980cb0
hex6e8200

7242240 has 160 divisors (see below), whose sum is σ = 24748416. Its totient is φ = 1802240.

The previous prime is 7242233. The next prime is 7242241. The reversal of 7242240 is 422427.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (7242241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176620 + ... + 176660.

Almost surely, 27242240 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 7242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12374208).

7242240 is an abundant number, since it is smaller than the sum of its proper divisors (17506176).

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

7242240 is a wasteful number, since it uses less digits than its factorization.

7242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 7242240 is about 2691.1410219459. The cubic root of 7242240 is about 193.4747545001.

Adding to 7242240 its reverse (422427), we get a palindrome (7664667).

The spelling of 7242240 in words is "seven million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 41 46 48 60 64 69 80 82 92 96 115 120 123 128 138 160 164 184 192 205 230 240 246 256 276 320 328 345 368 384 410 460 480 492 512 552 615 640 656 690 736 768 820 920 943 960 984 1104 1230 1280 1312 1380 1472 1536 1640 1840 1886 1920 1968 2208 2460 2560 2624 2760 2829 2944 3280 3680 3772 3840 3936 4416 4715 4920 5248 5520 5658 5888 6560 7360 7544 7680 7872 8832 9430 9840 10496 11040 11316 11776 13120 14145 14720 15088 15744 17664 18860 19680 20992 22080 22632 26240 28290 29440 30176 31488 35328 37720 39360 44160 45264 52480 56580 58880 60352 62976 75440 78720 88320 90528 104960 113160 120704 150880 157440 176640 181056 226320 241408 301760 314880 362112 452640 482816 603520 724224 905280 1207040 1448448 1810560 2414080 3621120 7242240