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2492320 = 25537421
BaseRepresentation
bin1001100000011110100000
311200121211011
421200132200
51114223240
6125230304
730120145
oct11403640
94617734
102492320
111452576
12a02394
1369355c
1448c3cc
153436ea
hex2607a0

2492320 has 48 divisors (see below), whose sum is σ = 6061608. Its totient is φ = 967680.

The previous prime is 2492317. The next prime is 2492339. The reversal of 2492320 is 232942.

It can be written as a sum of positive squares in 4 ways, for example, as 1710864 + 781456 = 1308^2 + 884^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2492291 and 2492300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5710 + ... + 6130.

22492320 is an apocalyptic number.

2492320 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 2492320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030804).

2492320 is an abundant number, since it is smaller than the sum of its proper divisors (3569288).

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

2492320 is a wasteful number, since it uses less digits than its factorization.

2492320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 2492320 is about 1578.7083327835. The cubic root of 2492320 is about 135.5817600907.

The spelling of 2492320 in words is "two million, four hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 421 592 740 842 1184 1480 1684 2105 2960 3368 4210 5920 6736 8420 13472 15577 16840 31154 33680 62308 67360 77885 124616 155770 249232 311540 498464 623080 1246160 2492320