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2473840 = 245172107
BaseRepresentation
bin1001011011111101110000
311122200110201
421123331300
51113130330
6125004544
730012235
oct11337560
94580421
102473840
11143a6a6
129b3754
13688015
1448578c
1533ceca
hex25bf70

2473840 has 60 divisors (see below), whose sum is σ = 6167016. Its totient is φ = 922624.

The previous prime is 2473837. The next prime is 2473871. The reversal of 2473840 is 483742.

It is a super-2 number, since 2×24738402 = 12239768691200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2473799 and 2473808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23067 + ... + 23173.

22473840 is an apocalyptic number.

2473840 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 2473840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083508).

2473840 is an abundant number, since it is smaller than the sum of its proper divisors (3693176).

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

2473840 is a wasteful number, since it uses less digits than its factorization.

2473840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 2473840 is about 1572.8445568460. The cubic root of 2473840 is about 135.2458255312.

The spelling of 2473840 in words is "two million, four hundred seventy-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 107 136 170 214 272 289 340 428 535 578 680 856 1070 1156 1360 1445 1712 1819 2140 2312 2890 3638 4280 4624 5780 7276 8560 9095 11560 14552 18190 23120 29104 30923 36380 61846 72760 123692 145520 154615 247384 309230 494768 618460 1236920 2473840