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2667240 = 2332531239
BaseRepresentation
bin1010001011001011101000
312000111202200
422023023220
51140322430
6133100200
731446132
oct12131350
95014680
102667240
111561a34
12a87660
13725064
144d6052
1537a460
hex28b2e8

2667240 has 96 divisors (see below), whose sum is σ = 8985600. Its totient is φ = 685440.

The previous prime is 2667227. The next prime is 2667263. The reversal of 2667240 is 427662.

2667240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26672402 = 14228338435200, which contains 22 as substring.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11041 + ... + 11279.

It is an arithmetic number, because the mean of its divisors is an integer number (93600).

22667240 is an apocalyptic number.

2667240 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 2667240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4492800).

2667240 is an abundant number, since it is smaller than the sum of its proper divisors (6318360).

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

2667240 is a wasteful number, since it uses less digits than its factorization.

2667240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2667240 is about 1633.1686991857. The cubic root of 2667240 is about 138.6821923362.

The spelling of 2667240 in words is "two million, six hundred sixty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 239 248 279 310 360 372 465 478 558 620 717 744 930 956 1116 1195 1240 1395 1434 1860 1912 2151 2232 2390 2790 2868 3585 3720 4302 4780 5580 5736 7170 7409 8604 9560 10755 11160 14340 14818 17208 21510 22227 28680 29636 37045 43020 44454 59272 66681 74090 86040 88908 111135 133362 148180 177816 222270 266724 296360 333405 444540 533448 666810 889080 1333620 2667240