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2992440 = 2335112267
BaseRepresentation
bin1011011010100100111000
312122000212010
423122210320
51231224230
6144045520
734302213
oct13324470
95560763
102992440
1117642a0
1210038a0
1380a099
1457c77a
153e19b0
hex2da938

2992440 has 64 divisors (see below), whose sum is σ = 9797760. Its totient is φ = 725120.

The previous prime is 2992417. The next prime is 2992453. The reversal of 2992440 is 442992.

2992440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2992398 and 2992407.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 187 + ... + 2453.

It is an arithmetic number, because the mean of its divisors is an integer number (153090).

22992440 is an apocalyptic number.

2992440 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 2992440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898880).

2992440 is an abundant number, since it is smaller than the sum of its proper divisors (6805320).

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

2992440 is a wasteful number, since it uses less digits than its factorization.

2992440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2992440 is about 1729.8670469143. The cubic root of 2992440 is about 144.1037061590.

The spelling of 2992440 in words is "two million, nine hundred ninety-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 2267 4534 6801 9068 11335 13602 18136 22670 24937 27204 34005 45340 49874 54408 68010 74811 90680 99748 124685 136020 149622 199496 249370 272040 299244 374055 498740 598488 748110 997480 1496220 2992440