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2420992 = 2872193
BaseRepresentation
bin1001001111000100000000
311112222222101
421033010000
51104432432
6123520144
726402200
oct11170400
94488871
102420992
111403a22
12989054
13669c52
14470400
1532c4e7
hex24f100

2420992 has 54 divisors (see below), whose sum is σ = 5650638. Its totient is φ = 1032192.

The previous prime is 2420989. The next prime is 2420993. The reversal of 2420992 is 2990242.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1806336 + 614656 = 1344^2 + 784^2 .

It is a super-2 number, since 2×24209922 = 11722404528128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2420992.

It is not an unprimeable number, because it can be changed into a prime (2420993) 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 5 ways as a sum of consecutive naturals, for example, 12448 + ... + 12640.

22420992 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 2420992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825319).

2420992 is an abundant number, since it is smaller than the sum of its proper divisors (3229646).

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

2420992 is an equidigital number, since it uses as much as digits as its factorization.

2420992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 2420992 is about 1555.9537268184. The cubic root of 2420992 is about 134.2758112079.

The spelling of 2420992 in words is "two million, four hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 193 196 224 256 386 392 448 772 784 896 1351 1544 1568 1792 2702 3088 3136 5404 6176 6272 9457 10808 12352 12544 18914 21616 24704 37828 43232 49408 75656 86464 151312 172928 302624 345856 605248 1210496 2420992