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1240992 = 253231139
BaseRepresentation
bin100101110111110100000
32100001022200
410232332200
5304202432
642333200
713356024
oct4567640
92301280
101240992
11778415
124ba200
13345b1c
14244384
15197a7c
hex12efa0

1240992 has 72 divisors (see below), whose sum is σ = 3669120. Its totient is φ = 397440.

The previous prime is 1240991. The next prime is 1240999. The reversal of 1240992 is 2990421.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×12409922 = 3080122288128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1240991) 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 11 ways as a sum of consecutive naturals, for example, 8859 + ... + 8997.

It is an arithmetic number, because the mean of its divisors is an integer number (50960).

21240992 is an apocalyptic number.

1240992 is a gapful number since it is divisible by the number (12) 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 1240992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834560).

1240992 is an abundant number, since it is smaller than the sum of its proper divisors (2428128).

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

1240992 is a wasteful number, since it uses less digits than its factorization.

1240992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1240992 is about 1113.9982046664. The cubic root of 1240992 is about 107.4623484511.

The spelling of 1240992 in words is "one million, two hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 139 144 186 248 278 279 288 372 417 496 556 558 744 834 992 1112 1116 1251 1488 1668 2224 2232 2502 2976 3336 4309 4448 4464 5004 6672 8618 8928 10008 12927 13344 17236 20016 25854 34472 38781 40032 51708 68944 77562 103416 137888 155124 206832 310248 413664 620496 1240992