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5673920 = 265717149
BaseRepresentation
bin10101101001001111000000
3101200021011012
4111221033000
52423031140
6321340052
766141020
oct25511700
911607135
105673920
11322599a
121a97628
131238765
14a79a80
15771265
hex5693c0

5673920 has 112 divisors (see below), whose sum is σ = 16459200. Its totient is φ = 1818624.

The previous prime is 5673911. The next prime is 5673929. The reversal of 5673920 is 293765.

5673920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5673911) and next prime (5673929).

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5673929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38006 + ... + 38154.

Almost surely, 25673920 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 5673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8229600).

5673920 is an abundant number, since it is smaller than the sum of its proper divisors (10785280).

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

5673920 is a wasteful number, since it uses less digits than its factorization.

5673920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 5673920 is about 2381.9991603693. Note that the first 3 decimals coincide. The cubic root of 5673920 is about 178.3587428978.

5673920 divided by its sum of digits (32) gives a triangular number (177310 = T595).

The spelling of 5673920 in words is "five million, six hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 136 140 149 160 170 224 238 272 280 298 320 340 448 476 544 560 595 596 680 745 952 1043 1088 1120 1190 1192 1360 1490 1904 2086 2240 2380 2384 2533 2720 2980 3808 4172 4760 4768 5066 5215 5440 5960 7616 8344 9520 9536 10132 10430 11920 12665 16688 17731 19040 20264 20860 23840 25330 33376 35462 38080 40528 41720 47680 50660 66752 70924 81056 83440 88655 101320 141848 162112 166880 177310 202640 283696 333760 354620 405280 567392 709240 810560 1134784 1418480 2836960 5673920