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5627840 = 26543409
BaseRepresentation
bin10101011101111111000000
3101120220221112
4111131333000
52420042330
6320342452
765556461
oct25357700
911526845
105627840
1131a4309
121a74a28
1312207aa
14a66d68
15762795
hex55dfc0

5627840 has 56 divisors (see below), whose sum is σ = 13746480. Its totient is φ = 2193408.

The previous prime is 5627813. The next prime is 5627849. The reversal of 5627840 is 487265.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 5627797 and 5627806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5627849) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13556 + ... + 13964.

Almost surely, 25627840 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 5627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6873240).

5627840 is an abundant number, since it is smaller than the sum of its proper divisors (8118640).

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

5627840 is a wasteful number, since it uses less digits than its factorization.

5627840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 5627840 is about 2372.3068941433. The cubic root of 5627840 is about 177.8745907872.

The spelling of 5627840 in words is "five million, six hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 409 430 688 818 860 1376 1636 1720 2045 2752 3272 3440 4090 6544 6880 8180 13088 13760 16360 17587 26176 32720 35174 65440 70348 87935 130880 140696 175870 281392 351740 562784 703480 1125568 1406960 2813920 5627840