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2401320 = 233520011
BaseRepresentation
bin1001001010010000101000
311111222222210
421022100220
51103320240
6123245120
726260635
oct11122050
94458883
102401320
1113a0169
129797a0
13660ccc
1446718c
15326780
hex24a428

2401320 has 32 divisors (see below), whose sum is σ = 7204320. Its totient is φ = 640320.

The previous prime is 2401307. The next prime is 2401339. The reversal of 2401320 is 231042.

It is a Harshad number since it is a multiple of its sum of digits (12).

2401320 is a modest number, since divided by 1320 gives 240 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2401296 and 2401305.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9886 + ... + 10125.

It is an arithmetic number, because the mean of its divisors is an integer number (225135).

22401320 is an apocalyptic number.

2401320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401320 is an abundant number, since it is smaller than the sum of its proper divisors (4803000).

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

2401320 is a wasteful number, since it uses less digits than its factorization.

2401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20025 (or 20021 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2401320 is about 1549.6193080883. The cubic root of 2401320 is about 133.9111313926.

Adding to 2401320 its reverse (231042), we get a palindrome (2632362).

The spelling of 2401320 in words is "two million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 20011 40022 60033 80044 100055 120066 160088 200110 240132 300165 400220 480264 600330 800440 1200660 2401320