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2401272 = 233311117
BaseRepresentation
bin1001001010001111111000
311111222221000
421022033320
51103320042
6123245000
726260536
oct11121770
94458830
102401272
1113a0125
12979760
13660c93
14467156
1532674c
hex24a3f8

2401272 has 32 divisors (see below), whose sum is σ = 6670800. Its totient is φ = 800352.

The previous prime is 2401261. The next prime is 2401279. The reversal of 2401272 is 2721042.

2401272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24012722 = 11532214435968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5343 + ... + 5774.

22401272 is an apocalyptic number.

It is an amenable number.

2401272 is an abundant number, since it is smaller than the sum of its proper divisors (4269528).

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

2401272 is a wasteful number, since it uses less digits than its factorization.

2401272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11132 (or 11122 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2401272 is about 1549.6038203360. The cubic root of 2401272 is about 133.9102391365.

The spelling of 2401272 in words is "two million, four hundred one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 11117 22234 33351 44468 66702 88936 100053 133404 200106 266808 300159 400212 600318 800424 1200636 2401272