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5623040 = 28523191
BaseRepresentation
bin10101011100110100000000
3101120200100202
4111130310000
52414414130
6320304332
765536463
oct25346400
911520322
105623040
1131a0745
121a720a8
13121b557
14a652da
15761145
hex55cd00

5623040 has 72 divisors (see below), whose sum is σ = 14128128. Its totient is φ = 2140160.

The previous prime is 5623021. The next prime is 5623043. The reversal of 5623040 is 403265.

It is a super-3 number, since 3×56230403 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5623043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29345 + ... + 29535.

It is an arithmetic number, because the mean of its divisors is an integer number (196224).

Almost surely, 25623040 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 5623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7064064).

5623040 is an abundant number, since it is smaller than the sum of its proper divisors (8505088).

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

5623040 is a wasteful number, since it uses less digits than its factorization.

5623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 5623040 is about 2371.2950048444. The cubic root of 5623040 is about 177.8240064963.

The spelling of 5623040 in words is "five million, six hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 191 230 256 320 368 382 460 640 736 764 920 955 1280 1472 1528 1840 1910 2944 3056 3680 3820 4393 5888 6112 7360 7640 8786 12224 14720 15280 17572 21965 24448 29440 30560 35144 43930 48896 61120 70288 87860 122240 140576 175720 244480 281152 351440 562304 702880 1124608 1405760 2811520 5623040