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5219640 = 23365179
BaseRepresentation
bin10011111010010100111000
3100211012000000
4103322110320
52314012030
6303513000
762236416
oct23722470
910735000
105219640
112a45658
1218b8760
131109a5a
1499c2b6
156d1860
hex4fa538

5219640 has 112 divisors (see below), whose sum is σ = 17706600. Its totient is φ = 1384128.

The previous prime is 5219639. The next prime is 5219651. The reversal of 5219640 is 469125.

5219640 is a `hidden beast` number, since 5 + 2 + 19 + 640 = 666.

5219640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 29071 + ... + 29249.

Almost surely, 25219640 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 5219640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8853300).

5219640 is an abundant number, since it is smaller than the sum of its proper divisors (12486960).

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

5219640 is a wasteful number, since it uses less digits than its factorization.

5219640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5219640 is about 2284.6531465411. The cubic root of 5219640 is about 173.4656616068.

The spelling of 5219640 in words is "five million, two hundred nineteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 179 180 216 243 270 324 358 360 405 486 537 540 648 716 729 810 895 972 1074 1080 1215 1432 1458 1611 1620 1790 1944 2148 2430 2685 2916 3222 3240 3580 3645 4296 4833 4860 5370 5832 6444 7160 7290 8055 9666 9720 10740 12888 14499 14580 16110 19332 21480 24165 28998 29160 32220 38664 43497 48330 57996 64440 72495 86994 96660 115992 130491 144990 173988 193320 217485 260982 289980 347976 434970 521964 579960 652455 869940 1043928 1304910 1739880 2609820 5219640